基于Mordukhovich子微分的数据不确定性多目标半无限规划的最优性条件和对偶性

Q3 Decision Sciences Yugoslav Journal of Operations Research Pub Date : 2021-01-01 DOI:10.2298/YJOR201017013P

T. Pham

{"title":"基于Mordukhovich子微分的数据不确定性多目标半无限规划的最优性条件和对偶性","authors":"T. Pham","doi":"10.2298/YJOR201017013P","DOIUrl":null,"url":null,"abstract":"Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ?-solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential\",\"authors\":\"T. Pham\",\"doi\":\"10.2298/YJOR201017013P\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ?-solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results.\",\"PeriodicalId\":52438,\"journal\":{\"name\":\"Yugoslav Journal of Operations Research\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yugoslav Journal of Operations Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/YJOR201017013P\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/YJOR201017013P","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}

引用次数: 2

摘要

基于文献[27]中的Mordukhovich子微分符号，我们提出了一些新的凸性概念，以建立约束中数据不确定性的非线性半无限优化问题拟-解的最优性条件。最后，通过算例对所得结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential

Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ?-solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊