Coincidence and common fixed points of hybrid contractions

Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph

In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.

Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....

On Coincidence and Common Fixed Point for Nonlinear Generalized Hybrid Contractions

The purpose of this paper is to prove some coincidence point theorems for non-linear hybrid contraction involving two pairs of single-valued and multivalued mappings on complete metric space.

Common Fixed Points, Invariant Approximation and Generalized Weak Contractions

Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces

In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.