Fixed points of Oslike contraction mapping: stability and convergence of a new iteration method

Abstract

[EN] This work introduces a novel three-type iteration method for estimating the fixed point approximation for a contraction mapping in the context of Banach space. Furthermore, we present a stability finding for an iteration scheme, demonstrating the strong convergence of our new iteration scheme. In conclusion, we proved that our iteration runs faster than some other iterations previously documented in the literature. We also provide a numerical example using the computer application Matlab to support our claim.