APPROXIMATION RESULTS FOR GENERALIZED NONEXPANSIVE MAPPINGS AND THEIR APPLICATIONS IN VARIOUS NONLINEAR PROBLEMS

Abstract

In this research, we establish convergence findings concerning generalized α-Reich-Suzuki nonexpansive(GARSN) mappings using a rapid iterative approach called the F-iterative scheme. To support our findings, we present a numerical example. Furthermore,we compare our results with other widely recognized iterative schemes. Lastly, we demon-strate the practical applications of these results in solving high-degree polynomial equations, systems of linear equations, and delay composite functional differential equations(DCFDE)of the Volterra-Stieljes Type(V ST).0Received