Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions

被引：17

作者：

Shim, SH

Kang, SM

Huang, NJ

Cho, YJ ^{[1
]}

机构：

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

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2000年 / 5卷 / 04期

关键词：

completely generalized strongly nonlinear implicit quasivariational inclusion; Mann type iterative sequence with errors; Ishikawa type iterative sequence with errors;

D O I：

10.1155/S1025583400000205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new class of completely generalized strongly nonlinear implicit quasivariational inclusions and prove its equivalence with a class of fixed point problems by using some properties of maximal monotone mappings. We also prove the existence of solutions for the completely generalized strongly nonlinear implicit quasivariational inclusions and the convergence of iterative sequences generated by the perturbed algorithms with errors.

引用

页码：381 / 395

页数：15

共 29 条

[1] Perturbed algorithms and sensitivity analysis for a general class of variational inclusions [J].