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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:220

Article

Ding, Xie Ping¹  Feng, Hai Rong¹ 

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

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;   

DOI  :  10.1016/j.cam.2007.08.003

来源: Elsevier

【 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.

【 授权许可】

Free