Common fixed point theorems in Menger probabilistic metric spaces using the CLRg property

Common fixed point theorems for weakly compatible mappings in fuzzy metric spaces using the CLRg property

By means of weakening conditions of the gauge function φ and the CLRg property, some common fixed point theorems are established in fuzzy metric spaces. The two mappings considered here are assumed to be weakly compatible. Our results extend and improve very recent theorems in the related literature. c ©2016 All rights reserved.

Common Fixed Point Theorems for Nonlinear Contractive Mappings with CLRg Property in Fuzzy Metric Spaces

In this paper, we prove several common fixed point theorems for nonlinear mappings satisfying the GLRg property with function φ in fuzzy metric spaces. In these fixed point theorems, the very simple conditions are imposed on the function φ. Mathematics Subject Classification: 54E70; 47H25

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...

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