Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions

被引：16

作者：

Ding, XP ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 141卷 / 2-3期

关键词：

generalized nonlinear implicit quasivariational inclusion; perturbed Ishikawa type iterative algorithm; Hilbert space;

D O I：

10.1016/S0096-3003(02)00261-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a perturbed Ishikawa type iterative algorithm of solving a new class of generalized nonlinear implicit quasivariational inclusions are suggested and analysed. First, an existence theorem of solutions for generalized nonlinear implicit quasivariational inclusion is proved under suitable assumptions. Then, the convergence of the perturbed Ishikawa type iterative sequences generated by the new algorithm is proved. As special cases, some known results are also discussed. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：359 / 373

页数：15

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