PERTURBED THREE-STEP ITERATIVE PROCESSES WITH ERRORS FOR GENERAL STRONGLY NONLINEAR QUASIVARIATIONAL INEQUALITIES

被引：0

作者：

Zhao, Yali ^{[1
,2
,3
]}

Xia, Zunquan ^{[4
]}

Liu, Zeqing ^{[5
]}

Kang, Shin Min ^{[6
,7
,8
]}

机构：

[1] Chaoyang Techers Coll, Shuangta Dist, Liaoning, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[3] Chaoyang Techers Coll, Dept Math, Shuangta Dist 122000, Liaoning, Peoples R China

[4] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China

[5] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China

[6] Res Inst Nat Sci, Kanazawa, Ishikawa, Japan

[7] Gyeongsang Natl Univ, Dept Math, Jinan, Peoples R China

[8] Gyeongsang Natl Univ, Res Inst Nat Sci, Chinju 660701, South Korea

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2005年 / 17卷 / 1-2期

关键词：

General strongly nonlinear quasivariational inequalities; perturbed three-step iterative processes with errors; convergence;

D O I：

10.1007/BF02936047

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 class of general strongly nonlinear quasivariational inequalities in Hilbert spaces. We prove the existence and uniqueness of solution and convergence of the perturbed the three-step iterative sequences with errors for this kind of general strongly nonlinear quasivariational inquality problems involving relaxed Lipschitz, relaxed monotone, and strongly monotone mappings. Our results extend, improve, and unify many known results due to Liu-Ume-Kang, Kim-Kyung, Zeng and others.

引用

页码：171 / 183

页数：13

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