- Results in Nonlinear Analysis
- Volume:4 Issue:3
- Stability and convergence analysis of hybrid algorithms for Berinde contraction mappings and its app...
Stability and convergence analysis of hybrid algorithms for Berinde contraction mappings and its applications
Authors : Raweerote SUPARATULATORN, Suthep SUANTAİ
Pages : 159-168
Doi:10.53006/rna.950067
View : 20 | Download : 8
Publication Date : 2021-09-30
Article Type : Research Paper
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