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MODIFIED MULTISTEP ITERATION FOR APPROXIMATING A GENERAL CLASS OF FUNCTIONS IN LOCALLY CONVEX SPACES

Akewe, H (2014) MODIFIED MULTISTEP ITERATION FOR APPROXIMATING A GENERAL CLASS OF FUNCTIONS IN LOCALLY CONVEX SPACES. Acta Math. Univ. Comenianae, LXXXII (1). pp. 39-45.

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Abstract

In this paper, we study the convergence of modi�ed multistep iteration and use the scheme to approximate the �xed point of a general class of functions introduced by Bosede and Rhoades [5] in a complete metrisable locally convex space. As corollaries, the convergence results for SP and Mann iterations are also established. Moreover, most convergence results in Banach spaces are generalized to complete metrisable locally convex spaces. Our convergence results generalize and extend the results of Berinde [2], Olaleru [11], Phuengrattana and Suantai [13], Ra�q [14] among others.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 14 Sep 2017 16:35
Last Modified: 14 Sep 2017 16:35
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/9321

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