Choudhury, Binayak S.; Das, Krishnapada Fixed points of generalized Kannan type mappings in generalized Menger spaces. (English) Zbl 1231.54020 Commun. Korean Math. Soc. 24, No. 4, 529-537 (2009). Summary: 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 A. Branciari [Publ. Math. 57, No. 1–2, 31–37 (2000; Zbl 0963.54031)]. In this paper we prove a Kannan type fixed point theorem in generalized Menger spaces. We also support our result by an example. Cited in 2 ReviewsCited in 7 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems Keywords:generalized Menger space; fixed point; Kannan type mapping Citations:Zbl 0963.54031 PDFBibTeX XMLCite \textit{B. S. Choudhury} and \textit{K. Das}, Commun. Korean Math. Soc. 24, No. 4, 529--537 (2009; Zbl 1231.54020) Full Text: DOI