Algorithm for solving a new class of generalized nonlinear implicit quasi-variational inclusions in Banach spaces

作     者：Ding, Xie Ping Feng, Hai Rong 

作者机构：Sichuan Normal Univ Coll Math & Software Sci Chengdu 610066 Sichuan Peoples R China SW Jiaotong Univ Sch Econ & Management Chengdu 610031 Peoples R China 

出 版 物：《APPLIED MATHEMATICS AND COMPUTATION》 (应用数学和计算)

年 卷 期：2009年第208卷第2期

页      面：547-555页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：NSF of Sichuan Education Department of China [07ZA092  SZD0406] 

主　　题：General H-monotone operator Proximal mapping Iterative algorithm Uniformly smooth Banach space 

摘      要：In this paper, we introduce and study a new class of generalized nonlinear implicit quasi-variational inclusions with general H-monotone operator in Banach spaces. By using the proximal mapping and Nadler s theorem, we suggest and analyze a class of iterative algorithm for solving the generalized nonlinear implicit quasi-variational inclusion. First, an existence theorem of solutions for the generalized nonlinear implicit quasi-variational inclusion is proved under suitable assumptions. Then, the convergence of the iterative sequences generated by the new algorithm is proved. (C) 2008 Elsevier Inc. All rights reserved.