Fixed point of asymptotic pointwise nonexpansive semigroups in metric spaces
Saleh Abdullah Al-Mezel, Mohamed A. Khamsi · Fixed Point Theory and Applications · 2013
Let C be a bounded, closed, convex subset of a uniformly convex metric space . In this paper, we introduce the concept of asymptotic pointwise nonexpansive semigroups of nonlinear mappings , i.e., a family such that , , and , where for every . Then we investigate the existence of common fixed points for asymptotic pointwise nonexpansive semigroups. The proof is based on the concept of types extended to one parameter family of points. MSC:47H09, 46B20, 47H10, 47E10.