On the Equivalence of Stochastic Fixed Point Iterations for Generalized φ-Contractive-Like Operators

Abstract

We present the equivalence of some stochastic fixed point iterative algorithms by proving the equivalence between the convergence of random implicit Jungck-Kirk-multistep, random implicit Jungck-Kirk-Noor, random implicit Jungck-Kirk-Ishikawa, and random implicit Jungck-Kirk-Mann iterative algorithms for generalized φ-contractive-like random operators defined on separable Banach spaces.