Existence results for equilibrium problems with applications to evolution equations

被引：2

作者：

Chadli, O. ^{[1
]}

Lahmdani, A. ^{[2
]}

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

机构：

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

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

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

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

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 08期

关键词：

47J05; 47J20; 49J40; 47H05; 46N20; evolution equations; evolution triple; pseudomonotone operators; quasimonotone operators; maximal monotone operators; equilibrium problems; VARIATIONAL-INEQUALITIES; NONMONOTONE PERTURBATIONS; MONOTONE; BIFUNCTIONS;

D O I：

10.1080/00036811.2014.944171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider evolution equations with time-dependent pseudomonotone and quasimonotone operators by a new approach based on equilibrium problems theory. We establish new existence results for equilibrium problems associated to pseudomonotone and quasimonotone bifunctions in the topological sense. The results obtained are then applied to derive existence of solutions for evolution equations. The approach is new and leads to improve and unify most of the results obtained in this direction.

引用

页码：1709 / 1735

页数：27

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