Convergence theorems for asymptotically pseudocontractive maps

M. O. Osilike; D. I. Igbokwe

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Bull. Korean Math. Soc. 2002; 39(3): 389-399

Printed September 1, 2002

Convergence theorems for asymptotically pseudocontractive maps

M. O. Osilike and D. I. Igbokwe

University of Nigeria, University of Uyo

Abstract

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Abstract

We prove that the results of Chang, Park and Cho in [1] concerning the iterative approximation of asymptotically pseudocontractive maps with bounded ranges can be extended to a certain class of asymptotically pseudocontractive maps whose ranges need not be bounded.

Keywords: fixed points, asymptotically pseudocontractive maps, modified Mann iteration and Ishikawa iteration methods (with errors)