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

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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