Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces

Authors : G.s. SALUJA

Pages : 209-225

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Publication Date : 2014-04-01

Article Type : Research Paper

Abstract :In this paper, we study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces. The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces. Our results extend and generalize many known results from the current literature.
Keywords : Generalized asymptotically quasi nonexpansive mapping, multi step iterations with errors, common fixed point, strong convergence, convex metric