A new contraction principle in Menger spaces. (English) Zbl 1155.54026

Choudhury, Binayak S.; Das, Krishnapada

Acta Math. Sin., Engl. Ser. 24, No. 8, 1379-1386 (2008).

Summary: In the present work we introduce a new type of contraction mapping by using a specific function and obtain certain fixed point results in Menger spaces. The work is in line with the research for generalizing the Banach’s contraction principle. We extend the notion of altering distance function to Menger Spaces and obtain fixed point results.

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
54E70	Probabilistic metric spaces

Keywords:

Menger space; \(\varphi\)-contraction; fixed point

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