Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2003; 40(3): 465-473

Printed September 1, 2003

Copyright © The Korean Mathematical Society.

Fixed points of sequentially condensing operators

In-Sook Kim

Sungkyunkwan University

Abstract

Introducing the concept of a sequentially condensing operator in a more general framework, we give a new fixed point theorem for sequentially condensing operators in Banach spaces, with the aid of attractors.

Keywords: fixed points, sequentially condensing operators, measures of noncompactness

MSC numbers: 47H09, 47H10