An Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on (A,η)-Accretive Framework

被引：11

作者：

Li, Hong Gang ^{[1
]}

Xu, An Jian ^{[1
]}

Jin, Mao Ming ^{[2
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Inst Appl Math Res, Chongqing 400065, Peoples R China

[2] Changjiang Normal Univ, Inst Nonlinear Anal Res, Fuling Chongqing 400803, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

QUASI-VARIATIONAL INCLUSIONS; BANACH-SPACES; OPERATORS; MAPPINGS; (A;

D O I：

10.1155/2010/501293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of (A,eta)-accretive is developed. Convergence analysis for the algorithm of solving a nonlinear set-valued inclusions problem and existence analysis of solution for the nonlinear set-valued inclusions problem are explored along with some results on the resolvent operator corresponding to (A,eta)-accretive mapping due to Lan-Cho-Verma in Banach space. The result that sequence {x(n)} generated by the algorithm converges linearly to a solution of the nonlinear set-valued inclusions problem with the convergence rate. is proved.

引用

页数：12

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