We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems in reflexive real Banach spaces. Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.
"Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces." Abstr. Appl. Anal. 2014 (SI43) 1 - 8, 2014. https://doi.org/10.1155/2014/584395