Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2009; 24(2): 281-290

Printed June 1, 2009

https://doi.org/10.4134/CKMS.2009.24.2.281

Copyright © The Korean Mathematical Society.

An extension of fixed point theorems concerning cone expansion and compression and its application

Feng Wang and Fang Zhang

Jiangsu Polytechnic University

Abstract

The famous Guo-Krasnosel'skii fixed point theorems concerning cone expansion and compression of norm type and order type are extended, respectively. As an application, the existence of multiple positive solutions for systems of Hammerstein type integral equations is considered.

Keywords: fixed point theorems, cone expansion and compression, Hammerstein integral equations

MSC numbers: Primary 47H10, 34B10, 34B15

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