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Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators

Akewe, H and Okeke, G.A. and Olayiwola, Adekunle F. (2014) Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators. Fixed Point Theory and Applications.

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Abstract

In this paper, we introduce Kirk-multistep and Kirk-multistep-SP iterative schemes and prove their strong convergences and stabilities for contractive-type operators in normed linear spaces. By taking numerical examples, we compare the convergence speed of our schemes (Kirk-multistep-SP iterative schemes) with the others (Kirk-SP, Kirk-Noor, Kirk-Ishikawa, Kirk-Mann and Kirk iterative schemes) for this class of operators. Our results generalize and extend most convergence and stability results in the literature

Item Type: Article
Uncontrolled Keywords: Kirk-multistep, Kirk-multistep-SP and multistep-SP iterative schemes; strong convergence results; contractive-type operators
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 16:31
Last Modified: 14 Sep 2017 16:31
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/9320

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