J. Korean Math. Soc. 2001; 38(3): 669-681
Printed May 1, 2001
Copyright © The Korean Mathematical Society.
Ravi P. Agarwal and Donal O'Regan
National University of Singapore and National University of Ireland
This paper introduces the notions of essential and inessential maps for countably $\,k$--set contractive maps. These ideas enable us to establish a Krasnoselskii--Petryshyn compression and expansion theorem in a cone for countably $\,k$--set contractive maps.
Keywords: essential and inessential maps, countably $k$-set contractive maps, fixed point results
MSC numbers: 47H10
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