Solution of a Nonlinear Integral Equation via New Fixed Point Iteration Process

2018/09/11 by Garodia, Chanchal, Uddin, Izhar
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1809.03771

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.

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