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THE CONVERGENCE OF JUNGCK-TYPE ITERATIVE SCHEMES FOR GENERALIZED CONTRACTIVE-LIKE OPERATORS

Olaleru, J.O. and Akewe, H (2010) THE CONVERGENCE OF JUNGCK-TYPE ITERATIVE SCHEMES FOR GENERALIZED CONTRACTIVE-LIKE OPERATORS. F A S C I C U L I M A T H E M A T I C I.

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Abstract

We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fxed point of a pair of weakly compatible generalized contractive-like opera-tors defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor itera- tions can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations and ex- tensions of the work of Olatinwo and Imoru [13], Olatinwo [14-15]. Consequently, several results in literature are generalized.

Item Type: Article
Uncontrolled Keywords: iteration schemes, quasi-contractive operators, weakly compatible maps, coincidence points, common �xed points.
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 15:42
Last Modified: 14 Sep 2017 15:42
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/9315

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