Common Fixed Points of a Three-Step Iteration with errors of Asymptotically Quasi-Nonexpansive Nonself-Mappings in the Intermediate sense in Banach spaces
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Date
2014
Authors
Okeke, G.A.
Olaleru, J.O
Journal Title
Journal ISSN
Volume Title
Publisher
F a s c i c u l i M a t h e m a t i c i
Abstract
In this paper, we extend the results of Inprasit and Wattanataweekul [7] to the class of asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense. We prove some strong convergence theorems for asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense using a three-step iterative method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilbert space. Our results extends, improves, unifies and generalizes the results of [13], [25] and [27].
Description
Staff publications
Keywords
Nonexpansive mappings , Quasi-nonexpansive mappings , Asymptotically nonexpansive mappings , Banach spaces , Research Subject Categories::MATHEMATICS
Citation
Okeke, G.A. and Olaleru, J.O. (2014). Common Fixed Points of a Three-Step Iteration with errors of Asymptotically Quasi-Nonexpansive Nonself-Mappings in the Intermediate sense in Banach spaces. F a s c i c u l i M a t h e m a t i c i. Nr 52