General strongly nonlinear quasivariational inequalities with relaxed Lipschitz and relaxed monotone mappings

被引：44

作者：

Liu, Z ^{[1
]}

Ume, JS

Kang, SM

机构：

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

[2] Changwon Natl Univ, Dept Appl Math, Chang Won, South Korea

[3] Gyeongsang Normal Univ, Dept Math, Chinju, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 114卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

general strongly nonlinear quasivariational inequalities; projection methods; relaxed Lipschitz mappings; relaxed monotone mappings; strongly monotone mappings; Noor iterative scheme with errors; stability;

D O I：

10.1023/A:1016079130417

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 introduce and study a new class of general strongly nonlinear quasivariational inequalities and construct a general iterative algorithm by using the projection method. We establish the existence of a unique solution for general strongly nonlinear quasivariational inequalities involving relaxed Lipschitz, relaxed monotone, and strongly monotone mappings; we obtain the convergence and stability of the iterative sequences generated by the algorithm. Our results extend, improve, and unify many known results due to Bose, Noor, Siddiqi-Ansari, Verma, Yao, Zeng, and others.

引用

页码：639 / 656

页数：18

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