{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,28]],"date-time":"2026-06-28T03:03:52Z","timestamp":1782615832852,"version":"3.54.5"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2012,12,4]],"date-time":"2012-12-04T00:00:00Z","timestamp":1354579200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2013,6]]},"DOI":"10.1007\/s10957-012-0238-8","type":"journal-article","created":{"date-parts":[[2012,12,3]],"date-time":"2012-12-03T20:42:13Z","timestamp":1354567333000},"page":"803-819","source":"Crossref","is-referenced-by-count":8,"title":["Subgradient Projection Algorithms and Approximate Solutions of Convex Feasibility Problems"],"prefix":"10.1007","volume":"157","author":[{"given":"A. J.","family":"Zaslavski","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2012,12,4]]},"reference":[{"key":"238_CR1","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1137\/S0036144593251710","volume":"38","author":"H.H. Bauschke","year":"1996","unstructured":"Bauschke, H.H., Borwein, J.M.: On projection algorithms for solving convex feasibility problems. SIAM Rev. 38, 367\u2013426 (1996)","journal-title":"SIAM Rev."},{"key":"238_CR2","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1109\/JSTSP.2007.910263","volume":"1","author":"D. Butnariu","year":"2007","unstructured":"Butnariu, D., Davidi, R., Herman, G.T., Kazantsev, I.G.: Stable convergence behavior under summable perturbations of a class of projection methods for convex feasibility and optimization problems. IEEE J. Sel. Top. Signal Process. 1, 540\u2013547 (2007)","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"238_CR3","volume-title":"Parallel Optimization: Theory, Algorithms and Applications","author":"Y. Censor","year":"1997","unstructured":"Censor, Y., Zenios, S.: Parallel Optimization: Theory, Algorithms and Applications. Oxford University Press, New York (1997)"},{"key":"238_CR4","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/BF02683333","volume":"35","author":"P.L. Combettes","year":"1997","unstructured":"Combettes, P.L.: Hilbertian convex feasibility problems: convergence of projection methods. Appl. Math. Optim. 35, 311\u2013330 (1997)","journal-title":"Appl. Math. Optim."},{"key":"238_CR5","first-page":"345","volume":"3","author":"G. Crombez","year":"2002","unstructured":"Crombez, G.: Finding common fixed points of strict paracontractions by averaging strings of sequential iterations. J. Nonlinear Convex Anal. 3, 345\u2013351 (2002)","journal-title":"J. Nonlinear Convex Anal."},{"key":"238_CR6","doi-asserted-by":"crossref","first-page":"762","DOI":"10.1007\/BF00971652","volume":"10","author":"I.I. Eremin","year":"1969","unstructured":"Eremin, I.I.: Fejer mappings and convex programming. Sib. Math. J. 10, 762\u2013772 (1969)","journal-title":"Sib. Math. J."},{"key":"238_CR7","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1007\/BF02017349","volume":"30","author":"S.D. Flam","year":"1990","unstructured":"Flam, S.D., Zowe, J.: Relaxed outer projections, weighted averages and convex feasibility. BIT Numer. Math. 30, 289\u2013300 (1990)","journal-title":"BIT Numer. Math."},{"key":"238_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0041-5553(67)90113-9","volume":"7","author":"L.G. Gubin","year":"1967","unstructured":"Gubin, L.G., Polyak, B.T., Raik, E.V.: The method of projections for finding the common point of convex sets. USSR Comput. Math. Math. Phys. 7, 1\u201324 (1967)","journal-title":"USSR Comput. Math. Math. Phys."},{"key":"238_CR9","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/0041-5553(69)90061-5","volume":"9","author":"B.T. Polyak","year":"1969","unstructured":"Polyak, B.T.: Minimization of unsmooth functionals. Comput. Math. Math. Phys. 9, 14\u201329 (1969)","journal-title":"Comput. Math. Math. Phys."},{"key":"238_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-82118-9","volume-title":"Minimization Methods for Non-differentiable Functions","author":"N.Z. Shor","year":"1985","unstructured":"Shor, N.Z.: Minimization Methods for Non-differentiable Functions. Springer, Berlin (1985)"},{"key":"238_CR11","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1137\/1023097","volume":"23","author":"Y. Censor","year":"1981","unstructured":"Censor, Y.: Row-action methods for huge and sparse systems and their applications. SIAM Rev. 23, 444\u2013466 (1981)","journal-title":"SIAM Rev."},{"key":"238_CR12","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/BF01585107","volume":"24","author":"Y. Censor","year":"1982","unstructured":"Censor, Y., Lent, A.: Cyclic subgradient projections. Math. Program. 24, 233\u2013235 (1982)","journal-title":"Math. Program."},{"key":"238_CR13","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/BF01448368","volume":"17","author":"A.R. Pierro De","year":"1988","unstructured":"De Pierro, A.R., Iusem, A.N.: A finitely convergent row-action method for the convex feasibility problem. Appl. Math. Optim. 17, 225\u2013235 (1988)","journal-title":"Appl. Math. Optim."},{"key":"238_CR14","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.jmaa.2008.01.087","volume":"343","author":"A. Aleyner","year":"2008","unstructured":"Aleyner, A., Reich, S.: Block-iterative algorithms for solving convex feasibility problems in Hilbert and Banach spaces. J. Math. Anal. Appl. 343, 427\u2013435 (2008)","journal-title":"J. Math. Anal. Appl."},{"key":"238_CR15","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)"},{"key":"238_CR16","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/BF01109805","volume":"100","author":"F.E. Browder","year":"1967","unstructured":"Browder, F.E.: Convergence theorems for sequences of nonlinear operators in Banach spaces. Math. Z. 100, 201\u2013225 (1967)","journal-title":"Math. Z."},{"key":"238_CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1088\/0266-5611\/26\/6\/065008","volume":"26","author":"Y. Censor","year":"2010","unstructured":"Censor, Y., Davidi, R., Herman, G.T.: Perturbation resilience and superiorization of iterative algorithms. Inverse Probl. 26, 1\u201312 (2010)","journal-title":"Inverse Probl."},{"key":"238_CR18","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/S1076-5670(08)70157-5","volume":"95","author":"P.L. Combettes","year":"1996","unstructured":"Combettes, P.L.: The convex feasibility problem in image recovery. Adv. Imaging Electron Phys. 95, 155\u2013270 (1996)","journal-title":"Adv. Imaging Electron Phys."},{"key":"238_CR19","volume-title":"Convex analysis and variational problems","author":"I. Ekeland","year":"1976","unstructured":"Ekeland, I., Temam, R.: Convex analysis and variational problems. North-Holland, Amsterdam (1976)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0238-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-012-0238-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0238-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:55:20Z","timestamp":1559454920000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-012-0238-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12,4]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["238"],"URL":"https:\/\/doi.org\/10.1007\/s10957-012-0238-8","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12,4]]}}}