A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems

被引：13

作者：

Verma, Ram U. ^{[1
]}

机构：

[1] Int Publicat, Orlando, FL 32828 USA

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 05期

关键词：

Variational inclusions; Maximal monotone mapping; A-maximal monotone mapping; Generalized resolvent operator; Over-relaxed A-proximal point algorithm; VARIATIONAL INCLUSIONS; MONOTONE-OPERATORS;

D O I：

10.1016/j.aml.2008.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First, a general framework for the over-relaxed A-proximal point algorithm based on the A-maximal monotonicity is introduced, and second it is applied to the approximation solvability of a general class of nonlinear inclusion problems using the generalized resolvent operator technique. The over-relaxed A-proximal point algorithm is of interest in the sense that it is quite application-oriented, but nontrivial in nature. The results obtained are general in nature. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：698 / 703

页数：6

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