Strong convergence theorem for right Bregman strongly nonexpensive mappings in reflexive Banach spaces

Abstract:

In this paper,we introduce Mann-Halpern algorithm for finding a common fixed point problem of finite family of right Bregman strongly nonexpansive mappings in reflexive mappings in reflexive real Banach spaces.Moreover,we prove a strong convergence theorem under suitable control conditions.Finally,the application to a common zero of a finite family of maximal monote mappings is given by the result.