Common fixed point theorems for occasionally weakly compatible mappings in Menger probabilistic quasi-metric spaces. (English) Zbl 1270.54049

Pant, B. D.; Chauhan, Sunny

Adv. Nonlinear Var. Inequal. 14, No. 2, 55-63 (2011).

The main result of this paper is a common fixed point theorem for three maps on a Menger probabilistic quasi-metric space \(X\) satisfying a contraction type condition, wherein the maps are pairwise occasionally weakly commuting. The authors also obtain a common fixed point theorem for a finite class of maps on \(X\). Some special cases are discussed.

Reviewer: S. L. Singh (Rishikesh)

MSC:

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

Keywords:

fixed point; Menger PQM-space; occasionally weakly compatible maps