A new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings

被引：35

作者：

Ding, XP ^{[1
]}

Park, JY

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 138卷 / 02期

关键词：

generalized nonlinear implicit quasivariational inclusion; fuzzy mappings; iterative algorithm; Hilbert space;

D O I：

10.1016/S0377-0427(01)00379-X

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 new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings. An existence theorem of solutions is proved without compactness assumptions. A new iterative algorithm is suggested and analysed. The convergence of iterative sequences generated by the new algorithm are also given. As special cases, some known results are also discussed. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：243 / 257

页数：15

共 36 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] GENERALIZED COMPLEMENTARITY-PROBLEMS FOR FUZZY MAPPINGS [J].

CHANG, SS ;

HUANG, NJ .

FUZZY SETS AND SYSTEMS, 1993, 55 (02) :227-234

[3] ON VARIATIONAL-INEQUALITIES FOR FUZZY MAPPINGS [J].

CHANG, SS ;

ZHU, YG .

FUZZY SETS AND SYSTEMS, 1989, 32 (03) :359-367

[4] 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

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

Ding, XP .

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

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

Ding, XP .

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

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

Ding, XP .

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

[8] 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

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

Ding, XP ;

Luo, CL .

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

[10]

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

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