On convergence of an implicit iterative algorithm for non self asymptotically non expansive mappings

Authors : Birol GUNDUZ, Safeer Hussain KHAN, Sezgin AKBULUT

Pages : 399-411

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Publication Date : 2014-06-01

Article Type : Research Paper

Abstract :In this paper, we study an implicit iterative algorithm for two finite families of nonself asymptotically nonexpansive mappings. We prove some weak and strong convergence theorems for this iterative algorithm. Our results improve and extend the corresponding results of Soltuz [4], Xu and Ori [5], Khan et al. [6]. 
Keywords : Implicit iteration process, Nonself asymptotically nonexpansive mappings, Common fixed point, Strong convergence, Weak convergence