Quasi-relative interiors for graphs of convex set-valued mappings

被引：7

作者：

Van Cuong, Dang ^{[1
]}

Mordukhovich, Boris S. ^{[2
]}

Nam, Nguyen Mau ^{[3
]}

机构：

[1] Duy Tan Univ, Fac Nat Sci, Dept Math, Da Nang, Vietnam

[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

[3] Portland State Univ, Fariborz Maseeh Dept Math & Stat, Portland, OR 97207 USA

来源：

OPTIMIZATION LETTERS | 2021年 / 15卷 / 03期

关键词：

Quasi-relative interior; Intrinsic relative interior; Quasi-regularity; Proper separation;

D O I：

10.1007/s11590-019-01447-4

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：

This paper aims at providing further studies of the notion of quasi-relative interior for convex sets. We obtain new formulas for representing quasi-relative interiors of convex graphs of set-valued mappings and for convex epigraphs of extended-real-valued functions defined on locally convex topological vector spaces. We also show that the role, which this notion plays in infinite dimensions and the results obtained in this vein, are similar to those involving relative interior in finite-dimensional spaces.

引用

页码：933 / 952

页数：20

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