Existence Results for Mixed Equilibrium Problems Involving Set-Valued Operators with Applications to Quasi-Hemivariational Inequalities

被引：2

作者：

Sahu, Bijaya Kumar ^{[1
]}

Chadli, Ouayl ^{[2
]}

Mohapatra, Ram N. ^{[3
]}

Pani, Sabyasachi ^{[1
]}

机构：

[1] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 752050, Odisha, India

[2] Ibn Zohr Univ, Dept Econ, BP 8658, Poste Dakhla, Agadir, Morocco

[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 184卷 / 03期

关键词：

Set-valued variational inequalities; Equilibrium problems; Set-valued mapping; Pseudomonotonicity; Hemivariational inequalities;

D O I：

10.1007/s10957-019-01629-1

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：

In this paper, we study the existence of solutions for mixed equilibrium problems associated with a set-valued operator in the general setting of vector spaces in duality, and in particular in Banach spaces. We use a Galerkin-type method and the notion of pseudomonotonicity in the sense of Brezis for bifunctions. As application, we study the existence of solutions for quasi-hemivariational inequalities governed by a set-valued mapping and perturbed with a nonlinear term. Our main results can be applied to differential inclusions, evolution equations and evolution hemivariational inequalities.

引用

页码：810 / 823

页数：14

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