Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2000; 15(2): 275-284

Printed June 1, 2000

Copyright © The Korean Mathematical Society.

Existence and Convergence for Fixed Points of Non-Lipschitzian Mappings in Banach Spaces without Uniform Convexity

Jong Soo Jung, Yeol Je Cho, Daya Ram Sahu

Dong-A University, Gyeongsang National University, Shri Shankaracharya College of Engineering

Abstract

The existence and convergence theorems for fixed points of mappings of asymptotically nonexpansive type are established in Banach spaces with a weakly continuous duality mapping but without uniform convexity.

Keywords: Fixed point, asymptotically nonexpansive mapping, weakly continuous duality mapping

MSC numbers: Primary 47H10