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Fixed points of generalized Kannan type mappings in generalized Menger spaces. (English) Zbl 1231.54020

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.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems

Citations:

Zbl 0963.54031
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