In this paper, we search some best proximity point results for a new class of non-self
mappings T: A⟶ BT:A⟶B called α-proximal Geraghty mappings. Our results extend many …

In this paper, we initiate a concept of graph-proximal functions. Furthermore, we give a
notion of being generalized Geraghty dominating for a pair of mappings. This permits us to …

Combining certain existing concepts we define a new multi-valued contraction with respect
to w-distance. The underline metric space is assumed to have a relation defined on it. We …

In this paper, we introduce a new concept of dominating proximal generalized Geraghty for
two mappings and prove the existence and uniqueness of a common best proximity …

This article introduces a type of dominating property, partially inherited from L. Chen's, and
proves an existence and uniqueness theorem concerning common best proximity points. A …

In the setup of metric spaces, many recent studies established a significant variety of control
type mappings and illustrated some fixed point results. To represent various contractivity …

The purpose of this paper is to introduce the notion of generalized multivalued ψ, ϕ-type
contractions and generalized multivalued ψ, ϕ-type Suzuki contractions and establish some …

The purpose of this work is to present some existence results for common fixed point
theorems for Geraghty contraction mappings with two generalized metrics endowed with a …

Following the technique introduced in [Eldred, AA and Veeramani, P., Existence and
convergence of best proximity points, J. Math. Anal. Appl., 323 (2006), 1001–1006], in this …

Common best proximity points of some graph- theoretical notions of dominating pairs Page 1
Results in Nonlinear Analysis 6 (2023) No. 1, 24–33 https://doi.org/10.31838/rna/2023.06.01.003 …