Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces

Journal of inequalities and applications

Jinfang Tang¹ 

关键词: viscosity approximation method;    nonexpansive semigroup;    implicit and explicit iterative scheme;    CAT(0) space;    fixed point;   

DOI  :  10.1186/1029-242X-2014-283

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is by using the viscosity approximation method to study the strong convergence problem for two one-parameter continuous semigroups of nonexpansive mappings in CAT(0) spaces. Under suitable conditions, some strong convergence theorems for the proposed implicit and explicit iterative schemes to converge to a common fixed point of two one-parameter continuous semigroups of nonexpansive mappings are proved, which is also a unique solution of some kind of variational inequalities. The results presented in this paper extend and improve the corresponding results of some others. MSC:47J05, 47H09, 49J25.

【 授权许可】

CC BY