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COMMON FIXED POINTS OF A THREE-STEP ITERATION WITH ERRORS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE NONSELF-MAPPINGS IN THE INTERMEDIATE SENSE IN BANACH SPACES

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. Fasciculi Mathematici, Nr 52 (2014). pp. 93-115.

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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].

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User: Dr. G.A. Okeke
Date Deposited: 15 May 2015 11:56
Last Modified: 15 May 2015 11:56
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/5201

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