Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation

被引：15

作者：

Lahmdani, A. ^{[1
]}

Chadli, O. ^{[2
]}

Yao, J. C. ^{[3
,4
]}

机构：

[1] Ibn Zohr Univ, Dept Math, Fac Sci, Agadir, Morocco

[2] Ibn Zohr Univ, Fac Econ & Social Sci, Dept Econ, Agadir, Morocco

[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan

[4] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 160卷 / 01期

关键词：

Hemivariational inequalities; Clarke subdifferential; Maximal monotone operators; Pseudomonotone operators; Equilibrium problems; Nonconvex; Evolution triple; Recession analysis; Periodic solutions; MONOTONE;

D O I：

10.1007/s10957-013-0374-9

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 a solution for a hemivariational inequality problem in a noncoercive framework. The approach adopted is an equilibrium problem formulation associated with a maximal monotone bifunction with pseudomonotone perturbation. We proceed by introducing auxiliary problems that will be studied using a new existence result for equilibrium problems. An example to illustrate the use of the theory is given.

引用

页码：49 / 66

页数：18

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