Equivalence of the convergence of Mann iteration with modified errors and Ishikawa iteration with modified errors for the class of uniformly continuous, strongly pseudocontractive maps

Abstract

We prove that the convergence of the Mann iteration with modified errors is equivalent to the convergence of the Ishikawa iteration with modified errors for the class of uniformly continuous and strongly pseudocontractive maps. Our results improve the results of Soltuz [14] and extend the results of Rhoades and Soltuz [12] to the iterations with modified errors.