Inequality problems of quasi-hemivariational type involving set-valued operators and a nonlinear term

被引：0
作者：
Nicuşor Costea
Vicenţiu Rădulescu
机构：
[1] Institute of Mathematics “Simion Stoilow” of the Romanian Academy,Department of Mathematics
[2] University of Craiova,undefined
来源：
Journal of Global Optimization | 2012年 / 52卷
关键词：
Quasi-hemivariational inequality; Set-valued operator; Lower semicontinuous set-valued operator; Clarke’s generalized gradient; Generalized monotonicity; KKM mapping; 47J20; 47H04; 49J53; 54C60; 47H05;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of this paper is to establish the existence of at least one solution for a general inequality of quasi-hemivariational type, whose solution is sought in a subset K of a real Banach space E. First, we prove the existence of solutions in the case of compact convex subsets and the case of bounded closed and convex subsets. Finally, the case when K is the whole space is analyzed and necessary and sufficient conditions for the existence of solutions are stated. Our proofs rely essentially on the Schauder’s fixed point theorem and a version of the KKM principle due to Ky Fan (Math Ann 266:519–537, 1984).
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页码：743 / 756
页数：13
相关论文
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