RANDOM ISHIKAWA ITERATIVE SEQUENCE WITH ERRORS FOR APPROXIMATING RANDOM FIXED POINTS

Abstract

The purpose of this paper is to construct a random Ishikawa iterative sequence with errors for random strongly pseudo-contractive operator T in separable Banach spaces and to study that under suitable conditions this random iterative sequence with errors converges to a random fixed point of T. As applications, we utilize our results to study the existence problems of solutions for some kinds of nonlinear random operator equations in uniformly smooth separable Banach spaces.