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

被引：22
作者：
Ding, Xie Ping [1 ]
Feng, Hai Rong [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 220卷 / 1-2期
关键词：
(A; eta)-accretive operator; resolvent operator technique; system of generalized mixed quasi-variational inclusions; p-step iterative algorithm; q-uniformly smooth Banach spaces;
D O I：
10.1016/j.cam.2007.08.003
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 system of generalized mixed quasi-variational inclusions with (A, eta)-accretive operators in q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with (A, eta)-accretive operators, we construct a new p-step iterative algorithm for solving this system of generalized mixed quasi-variational inclusions in real q-uniformly smooth Banach spaces. We also prove the existence of solutions for the generalized mixed quasi-variational inclusions and the convergence of iterative sequences generated by algorithm. Our results improve and generalize many known corresponding results. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：163 / 174
页数：12
相关论文
共 30 条
[1]   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
[2]  
Chidume C.-E., 2004, Internat. J. Math. Math. Sci., V22, P1159
[3]  
Ding XP, 2001, APPL MATH COMPUT, V122, P267, DOI 10.1016/S0096-3003(00)00027-8
[4]   Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities [J].
Ding, XP .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 113 (01) :67-80
[5]  
Fang Y. P., NONLINEAR A IN PRESS
[6]   Iterative algorithm for a system of variational inclusions involving H-accretive operators in Banach spaces [J].
Fang, YP ;
Huang, NJ .
ACTA MATHEMATICA HUNGARICA, 2005, 108 (03) :183-195
[7]   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
[8]   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
[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
123