Generalized Distance and Common Fixed Point Theorems in Menger Probablistic Metric Spaces

generalized distance and common fixed point theorems in menger probablistic metric spaces

Common Fixed Point Theorems in Menger Spaces

In this paper Theorem 3.1 of Kubiaczyk and Sushil Sharma [5] is shown to hold even under weaker hypothesis (Theorem 2.2) and we obtain a fixed point theorem (Theorem 2.3) involving occasionally weakly compatible maps and also prove a coincidence point theorem (Theorem 2.4) for a pair of self maps under certain conditions. Examples are provided to show that the hypothesis in Theorems 2.3 and 2.4...

Common fixed point theorems in Menger spaces

Probabilistic metric space was first introduced by Menger [6]. Later, there are many authors who have some detailed discussions and applications of a probabilistic metric space, for example, we may see Schweizer and Sklar [8]. Besides, there are many results about fixed point theorems in a probabilistic metric space with contractive types having appeared; we may see the papers [1–3, 9–12]. In t...

COMMON FIXED POINT THEOREMS IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACES

In this paper, we introduce a new class of implicit functions and also common property (E.A) in modified intuitionistic fuzzy metric spaces and utilize the same to prove some common fixed point theorems in modified intuitionistic fuzzy metric spaces besides discussing related results and illustrative examples. We are not aware of any paper dealing with such implicit functions in modified intuit...

Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces

In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point  heorems on generalized distance in ordere...

Common Fixed-Point Theorems in Complete Generalized Metric Spaces