The Eke land variational principle for equilibrium problems revisited and applications

被引：30

作者：

Alleche, Boualem ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

[1] Univ Medea, Lab Mecan Phys & Modelisat Math, Medea, Algeria

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[3] Simion Stoilow Romanian Acad, Inst Math, Bucharest 014700, Romania

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 23卷

关键词：

Equilibrium problem; System of equilibrium problems; Quasi-hemivariational inequality; Ekeland variational principle; Multivalued mapping; EKELANDS PRINCIPLE; INEQUALITIES; SPACES;

D O I：

10.1016/j.nonrwa.2014.11.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Ekeland variational principle for equilibrium problems under the setting of real Banach spaces. We make use of techniques related to infinite dimensional spaces to solve the weakly compact case and introduce a suitable weakened set of coerciveness to deal with the non weakly compact case. Some old results for the Euclidean space R-n are generalized under weakened conditions of semicontinuity and applications to countable rather than finite systems of equilibrium problems on real Banach spaces are derived. Applications to quasi-hemivariational inequalities are discussed. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：17 / 25

页数：9

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