System of generalized variational inclusions with H-accretive operators in uniformly smooth Banach spaces

被引：8

作者：

Ahmad, Rais ^{[1
]}

Usman, Farhat ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期

关键词：

System of generalized variational inclusions; H-accretive operator; Iterative algorithm; Smooth Banach spaces; SENSITIVITY-ANALYSIS; APPROXIMATION; ALGORITHMS; EXISTENCE;

D O I：

10.1016/j.cam.2008.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider and study a system of generalized variational inclusions with H-accretive operators in uniformly smooth Banach spaces. We prove the convergence of iterative algorithm for this system of generalized variational inclusions. A new definition of H-resolvent operator as a retraction is introduced, and in support of the definition, we have constructed an example and a numerical example through Matlab programming. Some special cases are also discussed. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：424 / 432

页数：9

共 16 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] Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions [J].

Agarwal, RP ;

Huang, NJ ;

Tan, MY .

APPLIED MATHEMATICS LETTERS, 2004, 17 (03) :345-352

[3] An iterative algorithm for generalized nonlinear variational inclusions [J].

Ahmad, R ;

Ansari, QH .

APPLIED MATHEMATICS LETTERS, 2000, 13 (05) :23-26

[4]

Alber YJC, 2000, FUNCT DIFFER EQU, V7, P5

[5] On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces [J].

Chang, SS ;

Kim, JK ;

Kim, KH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (01) :89-108

[6] Generalized set-valued variational inclusions in Banach spaces [J].

Chang, SS ;

Cho, YJ ;

Lee, BS ;

Jung, IH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (02) :409-422

[7]

Chang SS, 2001, NONLINEAR ANAL-THEOR, V47, P583

[8]

Cho YJ, 2004, J KOREAN MATH SOC, V41, P489

[9] H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS LETTERS, 2004, 17 (06) :647-653

[10]

Fang YP, 2004, COMM APPL NONLINEAR, V11, P93

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