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Unwana E. Udofia, Austine E. Ofem, and Donatus I. Igbokwe, Weak and strong convergence theorems for fixed points of generalized α-nonexpansive mappings with an application, Eur. J. Math. Appl. 1 (2021), Article ID 3.

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Volume 1 (2021), Article ID 3

https://doi.org/10.28919/ejma.2021.1.3

Published: 23/08/2021

Abstract:

The purpose of this article is to establish weak and strong convergence results of AI iterative scheme for fixed points of generalized $\alpha$-nonexpanisve mappings in uniformly convex Banach spaces. Furthermore, we carry out a numerical experiment to compare the convergence of AI iterative scheme with several prominent iterative schemes. Finally, we use AI iteration process to find the unique solution of a functional Volterra-Fredholm integral equation with deviating argument in Banach spaces. The results of this paper are new and extend several results in the literature.

How to Cite:

Unwana E. Udofia, Austine E. Ofem, and Donatus I. Igbokwe, Weak and strong convergence theorems for fixed points of generalized $\alpha$-nonexpansive mappings with an application, Eur. J. Math. Appl. 1 (2021), Article ID 3. https://doi.org/10.28919/ejma.2021.1.3