{"title":"E-B-invexity 条件下无差别多目标分式程序设计问题的最优性结果","authors":"Dhruv Singh , Shashi Kant Mishra , Pankaj Kumar , Abdelouahed Hamdi","doi":"10.1016/j.rico.2024.100486","DOIUrl":null,"url":null,"abstract":"<div><div>In this article, we study nonconvex multiobjective fractional programming problems involving E-differentiable functions (MFP<span><math><msub><mrow></mrow><mrow><mi>E</mi></mrow></msub></math></span>). We establish the E-Karush–Kuhn–Tucker (E-KKT) sufficient E-optimality conditions for nonsmooth vector optimization problems under the assumption of E-B-invexity. To demonstrate the validity of the derived results, we provide an example where the involved functions exhibit E-B-invexity.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"17 ","pages":"Article 100486"},"PeriodicalIF":0.0000,"publicationDate":"2024-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity\",\"authors\":\"Dhruv Singh , Shashi Kant Mishra , Pankaj Kumar , Abdelouahed Hamdi\",\"doi\":\"10.1016/j.rico.2024.100486\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this article, we study nonconvex multiobjective fractional programming problems involving E-differentiable functions (MFP<span><math><msub><mrow></mrow><mrow><mi>E</mi></mrow></msub></math></span>). We establish the E-Karush–Kuhn–Tucker (E-KKT) sufficient E-optimality conditions for nonsmooth vector optimization problems under the assumption of E-B-invexity. To demonstrate the validity of the derived results, we provide an example where the involved functions exhibit E-B-invexity.</div></div>\",\"PeriodicalId\":34733,\"journal\":{\"name\":\"Results in Control and Optimization\",\"volume\":\"17 \",\"pages\":\"Article 100486\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-10-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Control and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666720724001164\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666720724001164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity
In this article, we study nonconvex multiobjective fractional programming problems involving E-differentiable functions (MFP). We establish the E-Karush–Kuhn–Tucker (E-KKT) sufficient E-optimality conditions for nonsmooth vector optimization problems under the assumption of E-B-invexity. To demonstrate the validity of the derived results, we provide an example where the involved functions exhibit E-B-invexity.
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