STRONG CONVERGENCE THEOREMS FOR GENERALIZED NON-EXPANSIVE MAPPINGS IN ABBAS AND NAZIR ITERATVE PROCESS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

We analyze the Abbas and Nazir iteration and discuss its convergence properties to the fixed point of generalized non-expansive mappings. We prove that Abbas and Nazir iterative scheme converges for such mappings under suitable conditions. Furthermore, we illustrate with a numerical to support of our analytical proof.

Keywords and Phrases

Abbas and Nazir iterative process, generalized non-expansive mappings, uniformly convex, fixed point.

A.M.S. subject classification

47H09, 47H10, 54H25.

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