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Information Journal Paper

Title

A New and Faster Iterative Scheme Including Generalized $\alpha$-nonexpansive Mappings in Banach Spaces

Pages

  91-111

Abstract

 In this paper, we proposed a new Iterative process to approximate fixed point of generalized $\alpha$-nonexpansivemappings and show that the coefficient used in the proposed Iterative process play a fundamental role in the rate of convergence. We compare the speed of convergence of new Iterative process  with other well-known Iterative process by using numerical examples. Finally, by using new Iterative process, we obtained some weak and strong convergence theorems for generalized $\alpha$-nonexpansive mappings in a  Banach space.

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