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

被引：20

作者：

Ding, Xie Ping ^{[1
]}

Feng, Hai Rong ^{[1
,2
]}

机构：

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

[2] SW Jiaotong Univ, Sch Econ & Management, Chengdu 610031, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 208卷 / 02期

关键词：

General H-monotone operator; Proximal mapping; Iterative algorithm; Uniformly smooth Banach space; RESOLVENT EQUATIONS; MONOTONE OPERATORS; INEQUALITIES;

D O I：

10.1016/j.amc.2008.12.028

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 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.

引用

页码：547 / 555

页数：9

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