Further on Set-Valued Equilibrium Problems and Applications to Browder Variational Inclusions

被引：16

作者：

Alleche, Boualem ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

[1] Univ Medea, Fac Sci, Lab LPTEA, Medea 26000, Algeria

[2] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[3] Univ Craiova, Dept Math, St AI Cuza 13, Craiova 200585, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 175卷 / 01期

关键词：

Equilibrium problem; Set-valued mapping; Convexity; Semicontinuity; Variational inclusion; FIXED-POINT THEORY; INEQUALITIES; MAPPINGS;

D O I：

10.1007/s10957-017-1169-1

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：

In this paper, we introduce some concepts of convexity and semicontinuity for real set-valued mappings similar to those of real single-valued mappings. Then, we obtain different results on the existence of solutions of set-valued equilibrium problems generalizing in a common way several old ones for both single-valued and set-valued equilibrium problems. Applications to Browder variational inclusions, with weakened conditions on the involved set-valued operator, are given.

引用

页码：39 / 58

页数：20

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