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

被引：0
作者：
Boualem Alleche
Vicenţiu D. Rădulescu
机构：
[1] Université de Médéa,Laboratoire LPTEA, Faculté des Sciences
[2] King Abdulaziz University,Department of Mathematics, Faculty of Sciences
[3] University of Craiova,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2017年 / 175卷
关键词：
Equilibrium problem; Set-valued mapping; Convexity; Semicontinuity; Variational inclusion; 26A15; 26B25; 26E25; 47J20; 49J35;
D O I：
暂无
中图分类号：
学科分类号：
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：19
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