In this paper we prove common fixed point Theorem for six mappings in probabilistic metric space. Our result extends and generalizes some known results in metric space and probabilistic metric spaces. Mathematical Subject Classification: 47H10, 54H25.

Cyclic weak φ-contraction mapping is introduced in Menger space and fixed point theorem for such mappings are studied in Menger space. Mathematics Subject Classification 47H10, 54H25

Very recently, Fang (Fuzzy Sets Syst. 267:86-99, 2015) gave some fixed point theorems for probabilistic φ-contractions in Menger spaces. Fang’s results improve the one of Jachymski (Nonlinear Anal. 73:2199-2203, 2010) by relaxing the restriction on the gauge function φ . In this paper, inspired by the results of Fang, we prove a new fixed point theorem for a probabilistic φ-contraction in Menge...

Around 1930, Menger expressed his interest in the concept of abstract angle function. He introduced a general definition this notion for metric and semi-metric spaces. also proposed two problems concerning conformal embeddability spaces endowed with an function into Euclidean These received attention later years but only some particular cases In article, we first update to apply larger class be...

We continue to investigate various diagonalization properties for sequences of open covers of separable metrizable spaces introduced in Part I. These properties generalize classical ones of Rothberger, Menger, Hurewicz, and Gerlits-Nagy. In particular, we show that most of the properties introduced in Part I are indeed distinct. We characterize two of the new properties by showing that they are...

In the paper [9] we introduced the class of generalized metric spaces. These spaces simultaneously generalize ‘standard’ metric spaces, probabilistic metric spaces and fuzzy metric spaces. We show that every generalized metric space is, naturally, a uniform space. Thus we can use standard topological techniques to study, for example, probabilistic metric spaces. We illustrate this by proving a ...

Employing the common property E.A , we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as ψ-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in Branciari, 2002 ; Rhoad...