Characterizations of minimal elements of upper support with applications in minimizing DC functions

IF 1 4区数学 Q1 MATHEMATICS Open Mathematics Pub Date : 2024-07-26 DOI:10.1515/math-2024-0030

Somayeh Mirzadeh, Hasan Barsam, Loredana Ciurdariu

{"title":"Characterizations of minimal elements of upper support with applications in minimizing DC functions","authors":"Somayeh Mirzadeh, Hasan Barsam, Loredana Ciurdariu","doi":"10.1515/math-2024-0030","DOIUrl":null,"url":null,"abstract":"In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>X</m:mi> </m:math> X (where <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>X</m:mi> </m:math> X is a real locally convex topological vector space). For this purpose, we first gave different characterizations of the upper support set’s minimal elements of non-positive co-radiant functions. Then, we presented sufficient and necessary conditions for the global minimizers of the differences of two non-positive ICRQC functions.","PeriodicalId":48713,"journal":{"name":"Open Mathematics","volume":"73 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/math-2024-0030","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

Abstract

In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on

(where

is a real locally convex topological vector space). For this purpose, we first gave different characterizations of the upper support set’s minimal elements of non-positive co-radiant functions. Then, we presented sufficient and necessary conditions for the global minimizers of the differences of two non-positive ICRQC functions.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

应用于最小化直流函数的上支撑最小元素的特征

在本研究中，我们讨论了如何最小化定义在 X X（其中 X X 是实局部凸拓扑向量空间）上的两个非正值递增、共垂和准凹（ICRQC）函数之差的问题。为此，我们首先给出了非正共射函数上支持集最小元素的不同特征。然后，我们提出了两个非正 ICRQC 函数之差的全局最小值的充分和必要条件。

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分钟内获得全文去求助

来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: