Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity

Q3 Mathematics
Dhruv Singh , Shashi Kant Mishra , Pankaj Kumar , Abdelouahed Hamdi
{"title":"Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity","authors":"Dhruv Singh ,&nbsp;Shashi Kant Mishra ,&nbsp;Pankaj Kumar ,&nbsp;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}
引用次数: 0

Abstract

In this article, we study nonconvex multiobjective fractional programming problems involving E-differentiable functions (MFPE). 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.
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
本文研究了涉及 E-可变函数(MFPE)的非凸多目标分数编程问题。在 E-B-invexity 假设下,我们建立了非光滑矢量优化问题的 E-Karush-Kuhn-Tucker (E-KKT) 充分 E-optimality 条件。为了证明推导结果的有效性,我们提供了一个例子,其中涉及的函数表现出 E-B-inxxity 特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Results in Control and Optimization
Results in Control and Optimization Mathematics-Control and Optimization
CiteScore
3.00
自引率
0.00%
发文量
51
审稿时长
91 days
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信