Strong Convergence Theorems for Iterative Schemes with Errors for Asymptotically Demicontractive Mappings in Arbitrary Real Normed Linear Spaces

摘要

In the present paper, by virtue of new analysis technique, we have established several strong convergence theorems for the modified Ishikawa and Mann iteration schemes with errors for a class of asymptotically demicontractive mappings in arbitrary real normed linear spaces. Our results extend, generalize and improve the corresponding results obtained by Igbokwe [1], Liu [2], Osilike [3] and and others. [1] D.I. IGBOKWE, Approximation of fixed points of asymptotically demicontractive mappings in arbitrary Banach spaces, to appear in J.Ineq. Pure and Appl. Math. [2] Q.H. LIU, Convergence theorems of sequence of iterates for asymptotically demicontractive and hemicontractive mappings, Nonlinear Anal. Appl., 26 (1996), 1835--1842. [3] M.O. OSILIKE, Iterative approximations of fixed points asymptotically demicontractive mappings, Indian J. Pure Appl. Math., 29 (1998), 1291--1300.