Convergence results of K iteration process for nonexpansive mappings with an application
M. Sankara Narayanan, V. Anbukkarasi, Muthiah Marudai · International Journal of Dynamical Systems and Differential Equations · 2021
This paper deals with the convergence theorems that approximate the fixed points of nonexpansive mappings via K iteration process under the framework of uniformly convex Banach space. One numerical example is provided to illustrate the derived result. Further, based on the proposed result, the existence of the mild solution for wave equation is discussed. In addition to that one new iterative scheme is proposed for finding the fixed points of nonexpansive and quasinonexpansive mappings.