On convergence of random iterative schemes with errors for strongly pseudo contractive Lipschitzian maps in real Banach spaces
In this work, strong convergence and stability results of a three step random iterative scheme with errors for strongly pseudo contractive Lipschitzian maps are established in real Banach spaces. Analytic proofs are supported by providing numerical examples. Applications of random iterative schemes with errors to find solution of nonlinear random equation are also given. Our results improve and establish random generalization of results obtained by Xu and Xie [Y. Xu, F. Xie, Rostock. Math. Kolloq. 58 (2004) 93 100] Gu and Lu [F. Gu, J. Lu, Math. Commun. 9 (2004) 149 159] Liu et al. [Z. Liu, L. Zhang, S. M. Kang, Int. J. Math. Math. Sci. 31 (2002) 611 617] and many others. c (c)2016 All rights reserved.