Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces
Jinfang Tang, Shih-sen Chang · Journal of Inequalities and Applications · 2014
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.