Generalized Contractive Mappings and Weaklyα-Admissible Pairs inG-Metric Spaces

Abstract

The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.

Fixed point results for generalized multi-valued contractions

“…For more details, we refer the reader to [1,3,4,5,6,7,8,9,11,14,17,19,20]. In this paper, motivated by Javahernia et al [10], we establish some new fixed point theorems.…”

On Generalized Rational α − Geraghty Contraction Mappings in G − Metric Spaces

“…Hussain et al [12] established a generalized form of α− admissible mappings in order to prove coincidence points and common fixed points in the framework of G-metric spaces. Furthermore, several authors obtained different kinds of generalization of Banach contraction principle in different spaces (see for details [13][14][15][16][17][18][19][20]).…”

“…Definition 15 (see [12]). In an arbitrary set U, let R, S: U ⟶ U be given mappings and α: U × U × U ⟶ [0, +∞) be a function.…”