Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators

Akewe, H and Okeke, Godwin Amechi (2015) Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators. Fixed Point Theory and Applications.

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Abstract

In this paper we use the general class of contractive-like operators introduced by Bosede and Rhoades (J. Adv. Math. Stud. 3(2):1-3, 2010) to prove strong convergence and stability results for Picard-Mann hybrid iterative schemes considered in a real normed linear space. We establish the strong convergence and stability of the Picard iterative scheme as a corollary. Our results generalize and improve a multitude of results in the literature, including the recent results of Chidume (Fixed Point Theory Appl. 2014:233, 2014).

Item Type:	Article
Uncontrolled Keywords:	strong convergence result; Picard-Mann hybrid iterative schemes; contractive-like operators
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	21 Sep 2015 11:35
Last Modified:	21 Sep 2015 11:35
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/5461

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