CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACES

Abstract

The aim of this work is to establish convergence theorem of a newiteration process for a .nite family of I-asymptotically quasi-nonexpansivemappings and a .nite family of asymptotically quasi-nonexpansive mappingsin generalized convex cone metric spaces. Our result is valid in the whole space,whereas the results given in [4, 5] are valid in a nonempty convex subset of aconvex cone metric space. Our convergence results generalize and re.ne notonly result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].