A CONVERGENCE THEOREM IN GENERALIZED CONVEX

Authors : Birol GÜNDÜZ

Pages : 147-155

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Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :The aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in 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 a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].
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