Strong convergence result of forward–backward splitting methods for accretive operators in banach spaces with applications

被引：0
|
作者：
Yekini Shehu
Gang Cai
机构：
[1] University of Nigeria,Department of Mathematics
[2] Chongqing Normal University,College of Mathematics Science
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2018年 / 112卷
关键词：
Accretive operator; Resolvent; Zero point; Splitting method; Forward–backward algorithm; Banach space; 47H06; 47H09; 47J05; 47J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Our interest in this paper is to prove strong convergence results for finding zeros of the sum of two accretive operators by utilizing a viscosity type forward–backward splitting method. We also discuss applications of this method to approximation of solution to certain integro-differential equation with generalized p-Laplacian operator. Our results complement many recent and important results in the literature.
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页码：71 / 87
页数：16
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