System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces

被引：5

作者：

Ding, Xie-ping ^{[1
]}

Wang, Zhong-bao ^{[1
]}

机构：

[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 01期

关键词：

H-eta-monotone operators; resolvent operator technique; system of set-valued mixed quasi-variational-like inclusions; iterative algorithm; Banach spaces; ITERATIVE ALGORITHM; ETA)-ACCRETIVE MAPPINGS; (A; APPROXIMATION; INEQUALITIES; EXISTENCE;

D O I：

10.1007/s10483-009-0101-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new system of the set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-eta-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-eta-monotone operators, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new results have extended and improved previous results.

引用

页码：1 / 12

页数：12

共 36 条

[1]

Browder F.E., 1980, P S PUR MATH, V39, P49

[2]

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

[3] The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (A, η)-accretive operators in q-uniformly smooth banach spaces [J].

Ding, Xie Ping ;

Feng, Hai Rong .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 220 (1-2) :163-174

[4] Existence and algorithm of solutions for generalized strongly nonlinear mixed variational-like inequalities in Banach spaces [J].

Ding, Xie Ping ;

Yao, Jen-Chih ;

Zeng, Lu-Chuan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (04) :669-679

[5] 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

[6] Existence and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces [J].

Ding, XP ;

Yao, JC .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (5-6) :857-869

[7] Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions [J].

Ding, XP .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 141 (2-3) :359-373

[8] A new system of variational inclusions with (H,η)-monotone operators in hilbert spaces [J].

Fang, YP ;

Huang, NJ ;

Thompson, HB .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (2-3) :365-374

[9] H-monotone operator and resolvent operator technique for variational inclusions [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :795-803

[10]

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

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