Viscosity approximation method with Meir-Keeler contractions for common zero of accretive operators in Banach spaces

Fixexd point theory and applications

Jong Kyu Kim¹  Truong Minh Tuyen² 

[1] Department of Mathematics Education, Kyungnam University, Changwon, Korea;Department of Mathematics and Informatics, Thainguyen University, Thainguyen, Vietnam

关键词: accretive operators;    prox-Tikhonov method;    Meir-Keeler contraction;    common zero of accretive operator;    47H06;    47H09;    47H10;    47J25;   

DOI  :  10.1186/s13663-014-0256-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to introduce a new iteration by the combination of the viscosity approximation with Meir-Keeler contractions and proximal point algorithm for finding common zeros of a finite family of accretive operators in a Banach space with a uniformly Gâteaux differentiable norm. The results of this paper improve and extend corresponding well-known results by many others.

【 授权许可】

CC BY