Bull. Korean Math. Soc. -0001; 31(1): 139-145
Printed November 30, -0001
Copyright © The Korean Mathematical Society.
Shaini Pulickakunnel and Sreya Valiya Valappil
Central University of Kerala, Central University of Kerala
In this paper, some new fixed point theorems for condensing mappings are established based on a well known result of Petryshyn. We use several Leray-Schauder type conditions to prove new fixed point results. We also obtain generalizations of Altman's theorem and Petryshyn's theorem as well.
Keywords: condensing mappings, Leray-Schauder boundary condition, fixed point, Banach space
MSC numbers: 47H08, 47H10
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