{"title":"On nonsmooth multiobjective semi-infinite programming with switching constraints using tangential subdifferentials","authors":"Mohsine Jennane, El Mostafa Kalmoun","doi":"10.19139/soic-2310-5070-1704","DOIUrl":null,"url":null,"abstract":"We investigate optimality conditions for a nonsmooth multiobjective semi-infinite programming problem subject to switching constraints. In particular, we employ a surrogate problem and a suitable constraint qualification to state necessary M-stationary conditions in terms of tangential subdifferentials. An example is given at the end to illustrate our main result.","PeriodicalId":53461,"journal":{"name":"Statistics, Optimization and Information Computing","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, Optimization and Information Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/soic-2310-5070-1704","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
We investigate optimality conditions for a nonsmooth multiobjective semi-infinite programming problem subject to switching constraints. In particular, we employ a surrogate problem and a suitable constraint qualification to state necessary M-stationary conditions in terms of tangential subdifferentials. An example is given at the end to illustrate our main result.
期刊介绍：
Statistics, Optimization and Information Computing (SOIC) is an international refereed journal dedicated to the latest advancement of statistics, optimization and applications in information sciences. SOIC publishes original research/survey papers on theory, algorithms and applications which covering the range of the interface of statistics, optimization and information sciences. Topics of interest are (but not limited to): Statistical theory and applications [...] Optimization methods and applications[...] Information computing and machine intelligence[...]
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