{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T19:20:06Z","timestamp":1775503206403,"version":"3.50.1"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,7,20]],"date-time":"2022-07-20T00:00:00Z","timestamp":1658275200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,7,20]],"date-time":"2022-07-20T00:00:00Z","timestamp":1658275200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["424860\/2018-0"],"award-info":[{"award-number":["424860\/2018-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["309628\/2020-2"],"award-info":[{"award-number":["309628\/2020-2"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005285","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Goi\u00e1s","doi-asserted-by":"publisher","award":["PPP03\/15-201810267001725"],"award-info":[{"award-number":["PPP03\/15-201810267001725"]}],"id":[{"id":"10.13039\/501100005285","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["405349\/2021-1"],"award-info":[{"award-number":["405349\/2021-1"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1007\/s10957-022-02072-5","type":"journal-article","created":{"date-parts":[[2022,7,20]],"date-time":"2022-07-20T15:03:15Z","timestamp":1658329395000},"page":"1107-1140","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["A Quasi-Newton Method with Wolfe Line Searches for Multiobjective Optimization"],"prefix":"10.1007","volume":"194","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1098-4317","authenticated-orcid":false,"given":"L. F.","family":"Prudente","sequence":"first","affiliation":[]},{"given":"D. R.","family":"Souza","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,20]]},"reference":[{"issue":"11","key":"2072_CR1","doi-asserted-by":"publisher","first-page":"2289","DOI":"10.1080\/02331934.2014.947500","volume":"64","author":"MA Ansary","year":"2015","unstructured":"Ansary, M.A., Panda, G.: A modified quasi-Newton method for vector optimization problem. Optimization 64(11), 2289\u20132306 (2015)","journal-title":"Optimization"},{"issue":"16","key":"2072_CR2","doi-asserted-by":"publisher","first-page":"5268","DOI":"10.1016\/j.na.2011.04.067","volume":"74","author":"J Bello Cruz","year":"2011","unstructured":"Bello Cruz, J., Lucambio P\u00e9rez, L., Melo, J.: Convergence of the projected gradient method for quasiconvex multiobjective optimization. Nonlinear Anal. 74(16), 5268\u20135273 (2011)","journal-title":"Nonlinear Anal."},{"issue":"1","key":"2072_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1515\/REVCE.2000.16.1.1","volume":"16","author":"V Bhaskar","year":"2000","unstructured":"Bhaskar, V., Gupta, S.K., Ray, A.K.: Applications of multiobjective optimization in chemical engineering. Rev. Chem. Eng. 16(1), 1\u201354 (2000)","journal-title":"Rev. Chem. Eng."},{"key":"2072_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973365","volume-title":"Practical Augmented Lagrangian Methods for Constrained Optimization","author":"E Birgin","year":"2014","unstructured":"Birgin, E., Martinez, J.: Practical Augmented Lagrangian Methods for Constrained Optimization. SIAM, Philadelphia (2014)"},{"issue":"4","key":"2072_CR5","doi-asserted-by":"publisher","first-page":"953","DOI":"10.1137\/S1052623403429093","volume":"15","author":"H Bonnel","year":"2005","unstructured":"Bonnel, H., Iusem, A.N., Svaiter, B.F.: Proximal methods in vector optimization. SIAM J. Optim. 15(4), 953\u2013970 (2005)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"2072_CR6","doi-asserted-by":"publisher","first-page":"727","DOI":"10.1137\/0726042","volume":"26","author":"RH Byrd","year":"1989","unstructured":"Byrd, R.H., Nocedal, J.: A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM J. Numer. Anal. 26(3), 727\u2013739 (1989)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"2072_CR7","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/s10957-010-9667-4","volume":"146","author":"LC Ceng","year":"2010","unstructured":"Ceng, L.C., Mordukhovich, B.S., Yao, J.C.: Hybrid approximate proximal method with auxiliary variational inequality for vector optimization. J. Optim. Theory Appl. 146(2), 267\u2013303 (2010)","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"2072_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ejor.2006.09.070","volume":"183","author":"LC Ceng","year":"2007","unstructured":"Ceng, L.C., Yao, J.C.: Approximate proximal methods in vector optimization. Eur. J. Oper. Res. 183(1), 1\u201319 (2007)","journal-title":"Eur. J. Oper. Res."},{"issue":"8","key":"2072_CR9","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1080\/01630563.2011.587072","volume":"32","author":"TD Chuong","year":"2011","unstructured":"Chuong, T.D.: Generalized proximal method for efficient solutions in vector optimization. Numer. Funct. Anal. Optim. 32(8), 843\u2013857 (2011)","journal-title":"Numer. Funct. Anal. Optim."},{"issue":"3","key":"2072_CR10","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1007\/s10589-012-9495-6","volume":"54","author":"TD Chuong","year":"2013","unstructured":"Chuong, T.D.: Newton-like methods for efficient solutions in vector optimization. Comput. Optim. Appl. 54(3), 495\u2013516 (2013)","journal-title":"Comput. Optim. Appl."},{"issue":"2","key":"2072_CR11","first-page":"257","volume":"12","author":"TD Chuong","year":"2011","unstructured":"Chuong, T.D., Mordukhovich, B.S., Yao, J.C.: Hybrid approximate proximal algorithms for efficient solutions in vector optimization. J. Nonlinear Convex Anal. 12(2), 257\u2013285 (2011)","journal-title":"J. Nonlinear Convex Anal."},{"issue":"3","key":"2072_CR12","doi-asserted-by":"publisher","first-page":"1109","DOI":"10.1137\/10079731X","volume":"21","author":"AL Cust\u00f3dio","year":"2011","unstructured":"Cust\u00f3dio, A.L., Madeira, J.F.A., Vaz, A.I.F., Vicente, L.N.: Direct multisearch for multiobjective optimization. SIAM J. Optim. 21(3), 1109\u20131140 (2011)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"2072_CR13","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1137\/S1052623401383455","volume":"13","author":"Y-H Dai","year":"2002","unstructured":"Dai, Y.-H.: Convergence properties of the BFGS algorithm. SIAM J. Optim. 13(3), 693\u2013701 (2002)","journal-title":"SIAM J. Optim."},{"issue":"1\u20132","key":"2072_CR14","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/s10107-012-0522-2","volume":"138","author":"Y-H Dai","year":"2013","unstructured":"Dai, Y.-H.: A perfect example for the BFGS method. Math. Program. 138(1\u20132), 501\u2013530 (2013)","journal-title":"Math. Program."},{"issue":"3","key":"2072_CR15","doi-asserted-by":"publisher","first-page":"631","DOI":"10.1137\/S1052623496307510","volume":"8","author":"I Das","year":"1998","unstructured":"Das, I., Dennis, J.: Normal-boundary intersection: a new method for generating the Pareto surface in nonlinear multicriteria optimization problems. SIAM J. Optim. 8(3), 631\u2013657 (1998)","journal-title":"SIAM J. Optim."},{"key":"2072_CR16","doi-asserted-by":"crossref","unstructured":"Davidon, W.C.: Variable metric methods for minimization, aec. Research and Development Report, No. ANL-5990, Argonne Nat\u2019l Lab., Argonne, Illinois (1959)","DOI":"10.2172\/4252678"},{"key":"2072_CR17","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1007\/1-84628-137-7_6","volume-title":"Evolutionary Multiobjective Optimization: Theoretical Advances and Applications","author":"K Deb","year":"2005","unstructured":"Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable test problems for evolutionary multiobjective optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds.) Evolutionary Multiobjective Optimization: Theoretical Advances and Applications, pp. 105\u2013145. Springer, London (2005)"},{"issue":"126","key":"2072_CR18","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1090\/S0025-5718-1974-0343581-1","volume":"28","author":"JE Dennis","year":"1974","unstructured":"Dennis, J.E., Mor\u00e9, J.J.: A characterization of superlinear convergence and its application to quasi-Newton methods. Math. Comput. 28(126), 549\u2013560 (1974)","journal-title":"Math. Comput."},{"key":"2072_CR19","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971200","volume-title":"Numerical Methods for Unconstrained Optimization and Nonlinear Equations","author":"JE Dennis","year":"1996","unstructured":"Dennis, J.E., Schnabel, R.B.: Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Philadelphia (1996)"},{"issue":"2","key":"2072_CR20","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"ED Dolan","year":"2002","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles. Math. Program. 91(2), 201\u2013213 (2002)","journal-title":"Math. Program."},{"key":"2072_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-79159-1","volume-title":"Adaptive Scalarization Methods in Multiobjective Optimization","author":"G Eichfelder","year":"2008","unstructured":"Eichfelder, G.: Adaptive Scalarization Methods in Multiobjective Optimization. Springer, Berlin (2008)"},{"issue":"6","key":"2072_CR22","doi-asserted-by":"publisher","first-page":"1365","DOI":"10.1007\/s11590-018-1353-8","volume":"13","author":"NS Fazzio","year":"2019","unstructured":"Fazzio, N.S., Schuverdt, M.L.: Convergence analysis of a nonmonotone projected gradient method for multiobjective optimization problems. Optim. Lett. 13(6), 1365\u20131379 (2019)","journal-title":"Optim. Lett."},{"issue":"2","key":"2072_CR23","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1093\/comjnl\/6.2.163","volume":"6","author":"R Fletcher","year":"1963","unstructured":"Fletcher, R., Powell, M.J.D.: A Rapidly Convergent Descent Method for Minimization. Comput. J. 6(2), 163\u2013168 (1963)","journal-title":"Comput. J."},{"issue":"2","key":"2072_CR24","doi-asserted-by":"publisher","first-page":"602","DOI":"10.1137\/08071692X","volume":"20","author":"J Fliege","year":"2009","unstructured":"Fliege, J., Gra\u00f1a Drummond, L.M., Svaiter, B.F.: Newton\u2019s method for multiobjective optimization. SIAM J. Optim. 20(2), 602\u2013626 (2009)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"2072_CR25","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/s001860000043","volume":"51","author":"J Fliege","year":"2000","unstructured":"Fliege, J., Svaiter, B.F.: Steepest descent methods for multicriteria optimization. Math. Methods Oper. Res. 51(3), 479\u2013494 (2000)","journal-title":"Math. Methods Oper. Res."},{"issue":"8\u20139","key":"2072_CR26","doi-asserted-by":"publisher","first-page":"1009","DOI":"10.1080\/02331934.2010.522710","volume":"60","author":"EH Fukuda","year":"2011","unstructured":"Fukuda, E.H., Gra\u00f1a Drummond, L.M.: On the convergence of the projected gradient method for vector optimization. Optimization 60(8\u20139), 1009\u20131021 (2011)","journal-title":"Optimization"},{"issue":"3","key":"2072_CR27","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1007\/s10589-012-9501-z","volume":"54","author":"EH Fukuda","year":"2013","unstructured":"Fukuda, E.H., Gra\u00f1a Drummond, L.M.: Inexact projected gradient method for vector optimization. Comput. Optim. Appl. 54(3), 473\u2013493 (2013)","journal-title":"Comput. Optim. Appl."},{"issue":"3","key":"2072_CR28","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1007\/s10589-019-00146-1","volume":"76","author":"MLN Gon\u00e7alves","year":"2020","unstructured":"Gon\u00e7alves, M.L.N., Prudente, L.F.: On the extension of the Hager\u2013Zhang conjugate gradient method for vector optimization. Comput. Optim. Appl. 76(3), 889\u2013916 (2020)","journal-title":"Comput. Optim. Appl."},{"issue":"1","key":"2072_CR29","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1023\/B:COAP.0000018877.86161.8b","volume":"28","author":"LM Gra\u00f1a Drummond","year":"2004","unstructured":"Gra\u00f1a Drummond, L.M., Iusem, A.N.: A projected gradient method for vector optimization problems. Comput. Optim. Appl. 28(1), 5\u201329 (2004)","journal-title":"Comput. Optim. Appl."},{"issue":"5","key":"2072_CR30","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1080\/02331934.2012.693082","volume":"63","author":"LM Gra\u00f1a Drummond","year":"2014","unstructured":"Gra\u00f1a Drummond, L.M., Raupp, F.M.P., Svaiter, B.F.: A quadratically convergent Newton method for vector optimization. Optimization 63(5), 661\u2013677 (2014)","journal-title":"Optimization"},{"issue":"2","key":"2072_CR31","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.cam.2004.06.018","volume":"175","author":"LM Gra\u00f1a Drummond","year":"2005","unstructured":"Gra\u00f1a Drummond, L.M., Svaiter, B.F.: A steepest descent method for vector optimization. J. Comput. Appl. Math. 175(2), 395\u2013414 (2005)","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"2072_CR32","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1023\/A:1017536311488","volume":"110","author":"C Hillermeier","year":"2001","unstructured":"Hillermeier, C.: Generalized homotopy approach to multiobjective optimization. J. Optim. Theory Appl. 110(3), 557\u2013583 (2001)","journal-title":"J. Optim. Theory Appl."},{"issue":"5","key":"2072_CR33","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1109\/TEVC.2005.861417","volume":"10","author":"S Huband","year":"2006","unstructured":"Huband, S., Hingston, P., Barone, L., While, L.: A review of multiobjective test problems and a scalable test problem toolkit. IEEE Trans. Evol. Comput. 10(5), 477\u2013506 (2006)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"2072_CR34","unstructured":"Jin, Y., Olhofer, M., Sendhoff, B.: Dynamic weighted aggregation for evolutionary multi-objective optimization: why does it work and how? In: Spector, L.A., Goodman, E.D., Wu, A., Langdon, W.B., Voigt, H.M. (eds.) Proceedings of the 3rd Annual Conference on Genetic and Evolutionary Computation, GECCO\u201901, pp. 1042\u20131049. Morgan Kaufmann Publishers Inc, San Francisco (2001)"},{"issue":"2","key":"2072_CR35","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1007\/s00158-004-0465-1","volume":"29","author":"I Kim","year":"2005","unstructured":"Kim, I., de Weck, O.: Adaptive weighted-sum method for bi-objective optimization: Pareto front generation. Struct. Multidiscip. Optim. 29(2), 149\u2013158 (2005)","journal-title":"Struct. Multidiscip. Optim."},{"issue":"4","key":"2072_CR36","doi-asserted-by":"publisher","first-page":"616","DOI":"10.3390\/math8040616","volume":"8","author":"KK Lai","year":"2020","unstructured":"Lai, K.K., Mishra, S.K., Ram, B.: On q-quasi-Newton\u2019s method for unconstrained multiobjective optimization problems. Mathematics 8(4), 616 (2020)","journal-title":"Mathematics"},{"issue":"3","key":"2072_CR37","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1162\/106365602760234108","volume":"10","author":"M Laumanns","year":"2002","unstructured":"Laumanns, M., Thiele, L., Deb, K., Zitzler, E.: Combining convergence and diversity in evolutionary multiobjective optimization. Evol. Comput. 10(3), 263\u2013282 (2002)","journal-title":"Evol. Comput."},{"issue":"4","key":"2072_CR38","doi-asserted-by":"publisher","first-page":"1054","DOI":"10.1137\/S1052623499354242","volume":"11","author":"D-H Li","year":"2001","unstructured":"Li, D.-H., Fukushima, M.: On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. SIAM J. Optim. 11(4), 1054\u20131064 (2001)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"2072_CR39","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1137\/100784746","volume":"21","author":"A Lovison","year":"2011","unstructured":"Lovison, A.: Singular continuation: generating piecewise linear approximations to Pareto sets via global analysis. SIAM J. Optim. 21(2), 463\u2013490 (2011)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"2072_CR40","doi-asserted-by":"publisher","first-page":"2690","DOI":"10.1137\/17M1126588","volume":"28","author":"LR Lucambio P\u00e9rez","year":"2018","unstructured":"Lucambio P\u00e9rez, L.R., Prudente, L.F.: Nonlinear conjugate gradient methods for vector optimization. SIAM J. Optim. 28(3), 2690\u20132720 (2018)","journal-title":"SIAM J. Optim."},{"issue":"4","key":"2072_CR41","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1145\/3342104","volume":"45","author":"LR Lucambio P\u00e9rez","year":"2019","unstructured":"Lucambio P\u00e9rez, L.R., Prudente, L.F.: A Wolfe line search algorithm for vector optimization. ACM Trans. Math. Softw. 45(4), 23 (2019)","journal-title":"ACM Trans. Math. Softw."},{"issue":"6","key":"2072_CR42","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1080\/10556788.2020.1737691","volume":"35","author":"N Mahdavi-Amiri","year":"2020","unstructured":"Mahdavi-Amiri, N., Salehi Sadaghiani, F.: A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization. Optim. Method Softw. 35(6), 1223\u20131247 (2020)","journal-title":"Optim. Method Softw."},{"issue":"1","key":"2072_CR43","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1007\/s10107-003-0421-7","volume":"99","author":"WF Mascarenhas","year":"2004","unstructured":"Mascarenhas, W.F.: The BFGS method with exact line searches fails for non-convex objective functions. Math. Program. 99(1), 49\u201361 (2004)","journal-title":"Math. Program."},{"issue":"3","key":"2072_CR44","doi-asserted-by":"publisher","first-page":"662","DOI":"10.1016\/j.ejor.2007.05.015","volume":"188","author":"E Miglierina","year":"2008","unstructured":"Miglierina, E., Molho, E., Recchioni, M.: Box-constrained multi-objective optimization: a gradient-like method without a priori scalarization. Eur. J. Oper. Res. 188(3), 662\u2013682 (2008)","journal-title":"Eur. J. Oper. Res."},{"key":"2072_CR45","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s10898-019-00802-0","volume":"75","author":"K Mita","year":"2019","unstructured":"Mita, K., Fukuda, E.H., Yamashita, N.: Nonmonotone line searches for unconstrained multiobjective optimization problems. J. Glob. Optim. 75, 63\u201390 (2019)","journal-title":"J. Glob. Optim."},{"issue":"1","key":"2072_CR46","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1145\/355934.355936","volume":"7","author":"JJ Mor\u00e9","year":"1981","unstructured":"Mor\u00e9, J.J., Garbow, B.S., Hillstrom, K.E.: Testing unconstrained optimization software. ACM Trans. Math. Softw. 7(1), 17\u201341 (1981)","journal-title":"ACM Trans. Math. Softw."},{"issue":"3","key":"2072_CR47","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/s10288-017-0363-1","volume":"16","author":"V Morovati","year":"2017","unstructured":"Morovati, V., Basirzadeh, H., Pourkarimi, L.: Quasi-Newton methods for multiobjective optimization problems. 4OR 16(3), 261\u2013294 (2017)","journal-title":"4OR"},{"key":"2072_CR48","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal, J., Wright, S.: Numerical Optimization. Springer, Berlin (2006)"},{"key":"2072_CR49","doi-asserted-by":"publisher","first-page":"765","DOI":"10.1016\/j.cam.2013.06.045","volume":"255","author":"Z Povalej","year":"2014","unstructured":"Povalej, Z.: Quasi-Newton method for multiobjective optimization. J. Comput. Appl. Math. 255, 765\u2013777 (2014)","journal-title":"J. Comput. Appl. Math."},{"key":"2072_CR50","unstructured":"Powell, M.J.: Some global convergence properties of a variable metric algorithm for minimization without exact line searches. In: Cottle, R.W., Lemke, C.E. (eds.) Nonlinear Programming, SIAM-AMS Proceedings, vol.\u00a09 (1976)"},{"key":"2072_CR51","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/11844297_52","volume-title":"Parallel Problem Solving from Nature\u2014PPSN IX","author":"M Preuss","year":"2006","unstructured":"Preuss, M., Naujoks, B., Rudolph, G.: Pareto set and EMOA behavior for simple multimodal multiobjective functions. In: Runarsson, T.P., Beyer, H.-G., Burke, E., Merelo-Guerv\u00f3s, J.J., Whitley, L.D., Yao, X. (eds.) Parallel Problem Solving from Nature\u2014PPSN IX, pp. 513\u2013522. Springer, Berlin (2006)"},{"issue":"5","key":"2072_CR52","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/j.orl.2011.07.008","volume":"39","author":"S Qu","year":"2011","unstructured":"Qu, S., Goh, M., Chan, F.T.: Quasi-Newton methods for solving multiobjective optimization. Oper. Res. Lett. 39(5), 397\u2013399 (2011)","journal-title":"Oper. Res. Lett."},{"issue":"3","key":"2072_CR53","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1016\/j.ejor.2014.01.022","volume":"235","author":"S Qu","year":"2014","unstructured":"Qu, S., Liu, C., Goh, M., Li, Y., Ji, Y.: Nonsmooth multiobjective programming with quasi-Newton methods. Eur. J. Oper. Res. 235(3), 503\u2013510 (2014)","journal-title":"Eur. J. Oper. Res."},{"issue":"4","key":"2072_CR54","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1007\/s10898-007-9265-7","volume":"41","author":"O Sch\u00fctze","year":"2008","unstructured":"Sch\u00fctze, O., Laumanns, M., Coello Coello, C.A., Dellnitz, M., Talbi, E.-G.: Convergence of stochastic search algorithms to finite size Pareto set approximations. J. Glob. Optim. 41(4), 559\u2013577 (2008)","journal-title":"J. Glob. Optim."},{"key":"2072_CR55","doi-asserted-by":"crossref","unstructured":"Stadler, W., Dauer, J.: Multicriteria optimization in engineering: A tutorial and survey. In: Kamat, M.P. (ed.) Structural Optimization: Status And Promise, chapter\u00a010, pp. 209\u2013249. American Institute of Aeronautics and Astronautics (1992)","DOI":"10.2514\/5.9781600866234.0209.0249"},{"key":"2072_CR56","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/978-3-540-88908-3_11","volume-title":"Multiobjective Optimization: Interactive and Evolutionary Approaches","author":"T Stewart","year":"2008","unstructured":"Stewart, T., Bandte, O., Braun, H., Chakraborti, N., Ehrgott, M., G\u00f6belt, M., Jin, Y., Nakayama, H., Poles, S., Di Stefano, D.: Real-world applications of multiobjective optimization. In: Branke, J., Deb, K., Miettinen, K., S\u0142owi\u0144ski, R. (eds.) Multiobjective Optimization: Interactive and Evolutionary Approaches, pp. 285\u2013327. Springer, Berlin (2008)"},{"issue":"4","key":"2072_CR57","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1016\/j.orl.2018.05.008","volume":"46","author":"BF Svaiter","year":"2018","unstructured":"Svaiter, B.F.: The multiobjective steepest descent direction is not Lipschitz continuous, but is H\u00f6lder continuous. Oper. Res. Lett. 46(4), 430\u2013433 (2018)","journal-title":"Oper. Res. Lett."},{"key":"2072_CR58","unstructured":"Toint, P.L.: Test problems for partially separable optimization and results for the routine PSPMIN. Tech. Rep., The University of Namur, Department of Mathematics, Belgium (1983)"},{"issue":"3","key":"2072_CR59","doi-asserted-by":"publisher","first-page":"2388","DOI":"10.1137\/18M1191737","volume":"29","author":"J Wang","year":"2019","unstructured":"Wang, J., Hu, Y., Wai Yu, C.K., Li, C., Yang, X.: Extended Newton methods for multiobjective optimization: majorizing function technique and convergence analysis. SIAM J. Optim. 29(3), 2388\u20132421 (2019)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"2072_CR60","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1162\/106365600568202","volume":"8","author":"E Zitzler","year":"2000","unstructured":"Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: empirical results. Evol. Comput. 8(2), 173\u2013195 (2000)","journal-title":"Evol. Comput."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-022-02072-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10957-022-02072-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-022-02072-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,12]],"date-time":"2023-02-12T04:33:19Z","timestamp":1676176399000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10957-022-02072-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,20]]},"references-count":60,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["2072"],"URL":"https:\/\/doi.org\/10.1007\/s10957-022-02072-5","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,20]]},"assertion":[{"value":"10 September 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 June 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 July 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflicts of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}