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

被引：26
|
作者：
Costea, Nicusor [2 ]
Radulescu, Vicentiu [1 ,2 ]
机构：
[1] Univ Craiova, Dept Math, Craiova 200585, Romania
[2] Romanian Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 52卷 / 04期
关键词：
Quasi-hemivariational inequality; Set-valued operator; Lower semicontinuous set-valued operator; Clarke's generalized gradient; Generalized monotonicity; KKM mapping; SYMMETRIC CRITICALITY; EXISTENCE; PRINCIPLE;
D O I：
10.1007/s10898-011-9706-1
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：
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).
引用
收藏
页码：743 / 756
页数：14
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