NEW ITERATION APPROACH FOR APPROXIMATING FIXED POINTS

Abstract

In this paper, we introduce and study a novel iterative approach for fixed point(FP) approximation under nonexpansive mapping of the Reich{Suzuki type(RSN). We further show that the suggested approach converges quicker than some existing iterative schemesfor this kind of mapping. Furthermore, we provide some strong convergence findings aswell as weak convergence results for our novel iterative approach for FPs of RSN mapping. Additionally, we conduct a numerical experiment to demonstrate the effectiveness of our innovative iterative approach.