Existence Results for Variational Inequalities with Surjectivity Consequences Related to Generalized Monotone Operators

被引：6
|
作者：
Kassay, Gabor [1 ]
Miholca, Mihaela [1 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 159卷 / 03期
关键词：
Equilibrium problem; Variational inequality; Quasicoercive operator; Properly quasimonotone operator; F-hemicontinuity; C-pseudomonotone operator; EQUILIBRIUM PROBLEMS;
D O I：
10.1007/s10957-013-0383-8
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：
We present existence results for variational inequalities given by generalized monotone operators. As a consequence, we deduce the existence of zeros, or even more, the surjectivity of some classes of set-valued operators. We show that by strengthening the continuity assumptions, similar surjectivity results can be obtained without any monotonicity assumption. In the framework of reflexive Banach spaces, we extend a related result due to Inoan and Kolumban (Nonlinear Anal. 68:47-53, 2008).
引用
收藏
页码：721 / 740
页数：20
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