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

基金：

中国国家自然科学基金;

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

共 32 条

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

Adly, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (02) :609-630

[2] Perturbed proximal point algorithms for general quasi-variational-like inclusions [J].

Ding, XP ;

Luo, CL .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :153-165

[3] Perturbed proximal point algorithms for generalized quasivariational inclusions [J].

Ding, XP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 210 (01) :88-101

[4]

Ding XP, 2001, APPL MATH COMPUT, V122, P267, DOI 10.1016/S0096-3003(00)00027-8

[5] Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities [J].

Ding, XP .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 113 (01) :67-80

[6] Generalized implicit quasivariational inclusions with fuzzy set-valued mappings [J].

Ding, XP .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (01) :71-79

[7] Algorithm of solutions for mixed implicit quasi-variational inequalities with fuzzy mappings [J].

Ding, XP .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (5-6) :231-241

[8] Existence and algorithm for solving some generalized mixed variational inequalities [J].

Ding, XP ;

Luo, CL .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (03) :23-30

[9] A new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings [J].

Ding, XP ;

Park, JY .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 138 (02) :243-257

[10]

Ding XP, 1999, APPL MATH MECH-ENGL, V20, P1087

← 1 2 3 4 →