Convergence analysis of a novel iteration process with application to a fractional differential equation
Izhar Uddin, Chanchal Garodia, Thabet Abdeljawad, Nabil Mlaiki · Advances in Continuous and Discrete Models · 2022
Abstract The objective of this article is to study a three-step iteration process in the framework of Banach spaces and to obtain convergence results for Suzuki generalized nonexpansive mappings. We also provide numerical examples that support our main results and illustrate the convergence behavior of the proposed process. Further, we present a data-dependence result that is also supported by a nontrivial numerical example. Finally, we discuss the solution of a nonlinear fractional differential equation by utilizing our results.