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 Applications · 2021
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.