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

页码：721 / 740

页数：20

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