Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 1997; 34(1): 93-102

Printed March 1, 1997

Copyright © The Korean Mathematical Society.

Convergence of approximate sequences for compositions of nonexpansive mappings in Banach spaces

Jong Soo Jung and Tae Hwa Kim

Dong-A University, Pukyong National University

Abstract

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The convergence of approximate sequences for compositions of nonexpansive mappings in Banach spaces, essentially due to Halpern, is established. The main theorem extends Bauschke's recent result to Banach spaces and also generalizes Wittmann's result.

Keywords: Nonexpansive mapping, fixed points, iteration, sunny and nonexpansive retraction

MSC numbers: 47H09, 49M05

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