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Weak and strong convergence theorems for fixed points of generalized $\alpha$-nonexpansive mappings with an application

Unwana Effiong Udofia·Austine Efut Ofem·Donatus Ikechi Igbokwe
European Journal of Mathematics and Applications2021

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Abstract & Overview

The purpose of this article is to establish weak and strong convergence results of AI iterative scheme for fixed points of generalized α-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.

Cite this record

Unwana Effiong Udofia, Austine Efut Ofem, Donatus Ikechi Igbokwe (2021). Weak and strong convergence theorems for fixed points of generalized $\alpha$-nonexpansive mappings with an application. European Journal of Mathematics and Applications. https://doi.org/10.28919/ejma.2021.1.3

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Udofia, U. E., Ofem, A. E., & Igbokwe, D. I. (2021). Weak and strong convergence theorems for fixed points of generalized $\alpha$-nonexpansive mappings with an application. European Journal of Mathematics and Applications. https://doi.org/10.28919/ejma.2021.1.3
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