Solution of a Nonlinear Integral Equation via New Fixed Point Iteration Process
Functional Analysis
2018-09-12 v1
Abstract
In this paper, we introduce a new three-step iteration process in Banach space and prove convergence results for approximating fixed points for nonexpansive mappings. Also, we show that the newly introduced iteration process converges faster than a number of existing iteration processes. Further, we discuss about the solution of mixed type Volterra-Fredholm functional nonlinear integral equation.
Cite
@article{arxiv.1809.03771,
title = {Solution of a Nonlinear Integral Equation via New Fixed Point Iteration Process},
author = {Chanchal Garodia and Izhar Uddin},
journal= {arXiv preprint arXiv:1809.03771},
year = {2018}
}