Fixed points of generalized Kannan type mappings in generalized Menger spaces
Commun. Korean Math. Soc. 2009 Vol. 24, No. 4, 529-537
Printed December 1, 2009
Binayak S. Choudhury and Krishnapada Das
Bengal Engineering and Science University and Bengal Engineering and Science University
Abstract : Generalized Menger space introduced by the present authors is a generalization of Menger space as well as a probabilistic generalization of generalized metric space introduced by Branciari [Publ. Math. Debrecen {\bf 57} (2000), no.\,1-2, 31--37]. In this paper we prove a Kannan type fixed point theorem in generalized Menger spaces. We also support our result by an example.
Keywords : generalized Menger space, fixed point, Kannan type mapping, $\Psi$-function
MSC numbers : 47H10, 54H25
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