Stability and convergence analysis of hybrid algorithms for Berinde contraction mappings and its applications

Year 2021, Volume: 4 Issue: 3, 159 - 168, 30.09.2021

Raweerote Suparatulatorn Suthep Suantai

https://doi.org/10.53006/rna.950067

Cited By: 1

Abstract

In this paper, we construct a new hybrid iteration, called SR-iteration, and prove its stability and convergence analysis for weak contraction mappings in a Banach space. We compare rate of convergence between the SR-iteration and other iterations. Moreover, we provide numerical comparisons for supporting our main theorem and apply our main result to prove existence problem of mixed type Volterra-Fredholm functional nonlinear integral equation.

Keywords

SR-iteration, rate of convergence, weak contraction, Banach space

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