Nonlinear contraction theorems in probabilistic spaces

Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

In this paper, we give some new coupled common  fixed point theorems for probabilistic $varphi$-contractions  in Menger probabilistic metric spaces.  As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...

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

Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces

In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.

On fixed point theorems in fuzzy metric spaces using a control function

In this paper, we generalize Fuzzy Banach contraction theorem establishedby V. Gregori and A. Sapena [Fuzzy Sets and Systems 125 (2002) 245-252]using notion of altering distance which was initiated by Khan et al. [Bull. Austral.Math. Soc., 30(1984), 1-9] in metric spaces.

Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces

In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).