Some multidimensional fixed point theorems on partially preordered G ∗ -metric spaces under ( ψ , φ ) -contractivity conditions

Mixed g-monotone property and quadruple fixed point theorems in partially ordered G-metric spaces using (φ –ψ) contractions

*Correspondence: [email protected] Department of Mathematics, Hashemite University, Zarqa, Jordan Abstract In this paper, we prove some quadruple coincidence and quadruple common fixed point theorems for F : X4 → X and g : X → X satisfying (φ –ψ ) contractions in partially ordered G-metric spaces. We illustrate our results based on an example of the main theorems. Also, we deduce quadruple coi...

Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces

We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of exi...

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;...

Common fixed point theorems of contractive mappings sequence in partially ordered G-metric spaces

We consider the concept of Ω-distance on a complete partially ordered G-metric space and prove some common fixed point theorems.

Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces