Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2006; 43(4): 847-860

Printed December 1, 2006

Copyright © The Korean Mathematical Society.

Modified Ishikawa Iterative sequences with errors for asymptotically set-valued pseudocontractive mappings in Banach Spaces

Jong Kyu Kim and Young Man Nam

Kyungnam University, Kyungnam University

Abstract

In this paper, some new convergence theorems of the modified Ishikawa and Mann iterative sequences with errors for asymptotically set-valued pseudocontractive mappings in uniformly smooth Banach spaces are given.

Keywords: asymptotically nonexpansive mapping, asymptotically pseudocontractive mapping, asymptotically set-valued pseudocontractive mapping, modified Ishikawa iterative sequence with errors, modified Mann iterative sequence with errors, fixed point

MSC numbers: 47H05, 47H10, 47H15