The Stability of a Modified Jungck-Mann Hybrid Fixed Point Iteration Procedure

  • Hudson Akewe Department of Mathematics, University of Lagos, Akoka, Yaba, Lagos.
Keywords: Jungck-Mann hybrid iterative procedure, generalized contractive-like mapping, stability result, Banach space.

Abstract

In this paper, we prove some stability results for sequences of nonself mappings using a modified Jungck-Mann hybrid iterative procedure in a
Banach space by employing a class of generalized contractive-like definition. As corollaries, some stability results of Jungck (pair of maps) and
Picard (single map) iterative procedures are also established. Our stability results generalize and extend several related results involving pair and
single maps in the literature.

Published
2018-04-10
How to Cite
Akewe, H. (2018). The Stability of a Modified Jungck-Mann Hybrid Fixed Point Iteration Procedure. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2016, 95 - 104. Retrieved from http://ijmso.unilag.edu.ng/article/view/22
Issue
Vol 2016 (2016)
Section
Articles

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