Dual optimality conditions for the difference of extended real valued increasing co-radiant functions

被引：0

作者：

Daryaei, Mohammad Hossein ^{[1
]}

Mohebi, Hossein ^{[2
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Appl Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Dept Math, Grad Univ Adv Technol, Kerman 7616914111, Iran

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2024年 / 90卷 / 02期

关键词：

Global optimization; Abstract convexity; Increasing co-radiant function; Abstract subdifferential; Support set; Toland-Singer formula; TOPOLOGICAL VECTOR-SPACES; ABSTRACT CONVEXITY; MONOTONIC ANALYSIS; OPTIMIZATION;

D O I：

10.1007/s10898-024-01404-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The aim of this paper is to present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. We do this by first characterizing dual optimality conditions for the difference of two nonpositive increasing co-radiant functions. Finally, we present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. Our approach is based on the Toland-Singer formula.

引用

页码：355 / 371

页数：17

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