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

被引：17
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.
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页码：39 / 58
页数：20
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