Ω-Distance and coupled fixed point in G-metric spaces

Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.

Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces

In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illus...

Coupled fixed point theorems in partially ordered G-metric spaces

*Correspondence: [email protected] 1Department of Mathematics, Atilim University, İncek, Ankara 06836, Turkey Full list of author information is available at the end of the article Abstract The purpose of this paper is to extend some recent coupled fixed point theorems in the context of partially ordered G-metric spaces in a virtually different and more natural way. MSC: 46N40; 47H10; 54H25;...

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