{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T17:30:36Z","timestamp":1770744636842,"version":"3.49.0"},"reference-count":35,"publisher":"Informa UK Limited","issue":"7","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Computer Mathematics"],"published-print":{"date-parts":[[2023,7,3]]},"DOI":"10.1080\/00207160.2023.2207389","type":"journal-article","created":{"date-parts":[[2023,4,27]],"date-time":"2023-04-27T06:05:23Z","timestamp":1682575523000},"page":"1601-1624","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":7,"title":["Optimality conditions for a class of<i>E<\/i>-differentiable vector optimization problems with interval-valued objective functions under<i>E<\/i>-invexity"],"prefix":"10.1080","volume":"100","author":[{"given":"Najeeb","family":"Abdulaleem","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of \u0141\u00f3d\u017a, \u0141\u00f3d\u017a, Poland"},{"name":"Department of Mathematics, Hadhramout University, Al-Mahrah, Yemen"},{"name":"Department of Mathematics, Mahrah University, Al-Mahrah, Yemen"}]}],"member":"301","published-online":{"date-parts":[[2023,5,4]]},"reference":[{"key":"e_1_3_2_2_1","first-page":"14","article-title":"E-optimality conditions for E-differentiable E-invex multiobjective programming problems","volume":"18","author":"Abdulaleem N.","year":"2019","unstructured":"N. Abdulaleem, E-optimality conditions for E-differentiable E-invex multiobjective programming problems, WSEAS Trans. Math. 18 (2019), pp. 14\u201327.","journal-title":"WSEAS Trans. Math."},{"key":"e_1_3_2_3_1","doi-asserted-by":"crossref","unstructured":"N. Abdulaleem E-invexity and generalized E-invexity in E-differentiable multiobjective programming in ITM Web of Conferences 2019 24 01002 pp. 1\u201312.","DOI":"10.1051\/itmconf\/20192401002"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2022004"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.012.11.06"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2019089"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00186-012-0399-0"},{"key":"e_1_3_2_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-014-0858-2"},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-013-9156-y"},{"key":"e_1_3_2_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(95)00055-0"},{"key":"e_1_3_2_11_1","first-page":"1157","article-title":"The Karush\u2013Kuhn\u2013Tucker optimality conditions in interval-valued multiobjective programming problems","volume":"29","author":"Hosseinzade E.","year":"2011","unstructured":"E. Hosseinzade and H. Hassanpour, The Karush\u2013Kuhn\u2013Tucker optimality conditions in interval-valued multiobjective programming problems, J. Appl. Math. Inform. 29 (2011), pp. 1157\u20131165.","journal-title":"J. Appl. Math. Inform."},{"key":"e_1_3_2_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(90)90375-L"},{"key":"e_1_3_2_13_1","doi-asserted-by":"crossref","first-page":"4119","DOI":"10.1016\/j.amc.2011.09.041","article-title":"On sufficiency and duality for a class of interval-valued programming problems","volume":"218","author":"Jayswal A.","year":"2011","unstructured":"A. Jayswal, I. Stancu-Minasian, and I. Ahmad, On sufficiency and duality for a class of interval-valued programming problems, Appl. Math. Comput. 218 (2011), pp. 4119\u20134127.","journal-title":"Appl. Math. Comput."},{"key":"e_1_3_2_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s12215-015-0215-9"},{"issue":"1","key":"e_1_3_2_15_1","first-page":"137","article-title":"Sufficiency and duality for optimization problems involving interval-valued invex functions in parametric form","volume":"15","author":"Jayswal A.","year":"2015","unstructured":"A. Jayswal, I. Stancu-Minasian, J. Banerjee, and A.M. Stancu, Sufficiency and duality for optimization problems involving interval-valued invex functions in parametric form, Oper. Res. 15(1) (2015), pp. 137\u2013161.","journal-title":"Oper. Res."},{"issue":"3","key":"e_1_3_2_16_1","first-page":"549","article-title":"On interval-valued programming problem with invex functions","volume":"17","author":"Jayswal A.","year":"2016","unstructured":"A. Jayswal, I. Stancu-Minasian, and J. Banerjee, On interval-valued programming problem with invex functions, J. Nonlinear Convex Anal. 17(3) (2016), pp. 549\u2013567.","journal-title":"J. Nonlinear Convex Anal."},{"key":"e_1_3_2_17_1","first-page":"71","article-title":"Solution of nonlinear interval vector optimization problem","volume":"14","author":"Jana M.","year":"2014","unstructured":"M. Jana and G. Panda, Solution of nonlinear interval vector optimization problem, Oper. Res. 14 (2014), pp. 71\u201385.","journal-title":"Oper. Res."},{"key":"e_1_3_2_18_1","first-page":"100044, 1","article-title":"Characterization of LU-efficiency and saddle-point criteria for F-approximated multiobjective interval-valued variational problems","volume":"4","author":"Jha S.","year":"2021","unstructured":"S. Jha, P. Das, and S. Bandhyopadhyay, Characterization of LU-efficiency and saddle-point criteria for F-approximated multiobjective interval-valued variational problems, Results Cont. Optim. 4 (2021), pp. 100044, 1\u201311.","journal-title":"Results Cont. Optim."},{"key":"e_1_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.joems.2013.07.002"},{"key":"e_1_3_2_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02733477"},{"key":"e_1_3_2_21_1","first-page":"1","article-title":"On interval-valued invex mappings and optimality conditions for interval-valued optimization problems","volume":"179","author":"Li L.","year":"2015","unstructured":"L. Li, S. Liu, and J. Zhang, On interval-valued invex mappings and optimality conditions for interval-valued optimization problems, J. Inequal. Appl. 179 (2015), pp. 1\u201319.","journal-title":"J. Inequal. Appl."},{"key":"e_1_3_2_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00933793"},{"key":"e_1_3_2_23_1","volume-title":"Nonlinear Programming","author":"Mangasarian O.L.","year":"1969","unstructured":"O.L. Mangasarian, Nonlinear Programming, McGraw-Hill Book Company, New York, 1969."},{"key":"e_1_3_2_24_1","first-page":"1","article-title":"Optimality conditions of E-convex programming for an E-differentiable function","volume":"246","author":"Megahed A.E.M.A.","year":"2013","unstructured":"A.E.M.A. Megahed, H.G. Gomma, E.A. Youness, and A.Z.H. El-Banna, Optimality conditions of E-convex programming for an E-differentiable function, J. Inequal. Appl. 246 (2013), pp. 1\u201311.","journal-title":"J. Inequal. Appl."},{"key":"e_1_3_2_25_1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970906"},{"key":"e_1_3_2_26_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2020.106634"},{"key":"e_1_3_2_27_1","first-page":"91","article-title":"KKT optimality conditions for interval valued optimization problems","volume":"5","author":"Singh D.","year":"2014","unstructured":"D. Singh, B.A. Dar, and A. Goyal, KKT optimality conditions for interval valued optimization problems, J. Nonlinear Anal. Optim. 5 (2014), pp. 91\u2013103.","journal-title":"J. Nonlinear Anal. Optim."},{"key":"e_1_3_2_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2016.03.042"},{"key":"e_1_3_2_29_1","first-page":"197","volume-title":"Mathematical Programming with Type-I Functions","author":"Stancu A.M.","year":"2013","unstructured":"A.M. Stancu, Mathematical Programming with Type-I Functions, Matrix Rom, Bucharest.2013. p. 197."},{"key":"e_1_3_2_30_1","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2013.9.131"},{"key":"e_1_3_2_31_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.09.007"},{"key":"e_1_3_2_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.05.023"},{"key":"e_1_3_2_33_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2008.03.012"},{"key":"e_1_3_2_34_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-009-9613-5"},{"key":"e_1_3_2_35_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1021792726715"},{"key":"e_1_3_2_36_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-012-0601-6"}],"container-title":["International Journal of Computer Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207160.2023.2207389","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,11]],"date-time":"2023-12-11T15:24:48Z","timestamp":1702308288000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207160.2023.2207389"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,4]]},"references-count":35,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2023,7,3]]}},"alternative-id":["10.1080\/00207160.2023.2207389"],"URL":"https:\/\/doi.org\/10.1080\/00207160.2023.2207389","relation":{},"ISSN":["0020-7160","1029-0265"],"issn-type":[{"value":"0020-7160","type":"print"},{"value":"1029-0265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5,4]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=gcom20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=gcom20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2022-05-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-04-04","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-05-04","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}