Sensitivity analysis for nonlinear generalized mixed implicit equilibrium problems with non-monotone set-valued mappings

被引：27

作者：

Huang, Nan-Jing

Lan, Heng-you

Cho, Yeol Je ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 196卷 / 02期

基金：

中国国家自然科学基金; 新加坡国家研究基金会;

关键词：

non-monotone set-valued mapping; nonlinear generalized mixed implicit equilibrium problem; variational inequality; sensitivity analysis; Wiener-Hopf equation and proximal method;

D O I：

10.1016/j.cam.2005.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a new class of nonlinear generalized mixed implicit equilibrium problems with non-monotone set-valued mappings. By using Wiener-Hopf equations and the Yosida approximation notion, we prove the existence of solutions and analyze the sensitivity of solutions for this class of nonlinear generalized mixed implicit equilibrium problems in Hilbert spaces. Our results are new and extend, improve and unify some recent results in this field. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：608 / 618

页数：11

共 20 条

[1] Sensitivity analysis for strongly nonlinear quasi-variational inclusions [J].