{"title":"Homeomorphic optimality conditions and duality for semi-infinite programming on smooth manifolds","authors":"Dang Hoang Tam","doi":"10.23952/jnfa.2021.18","DOIUrl":null,"url":null,"abstract":". In this paper, we explore the semi-infinite programming on smooth manifolds. We first discuss the optimality conditions for semi-infinite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-infinite programming on manifolds, and examine weak and strong duality relations under the ϕ − 1 -convexity assumption.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2021.18","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 2
Abstract
. In this paper, we explore the semi-infinite programming on smooth manifolds. We first discuss the optimality conditions for semi-infinite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-infinite programming on manifolds, and examine weak and strong duality relations under the ϕ − 1 -convexity assumption.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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