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.