Best proximity point theorems for cyclic p-contractions with some consequences and applications

M Aslantas, H Sahin, I Altun - Nonlinear Analysis: Modelling and …, 2021 - zurnalai.vu.lt
In this paper, we introduce the concept of cyclic p-contraction pair for single-valued
mappings. Then we present some best proximity point results for such mappings defined on …

On best proximity point results for some type of mappings

V Parvaneh, MR Haddadi, H Aydi - Journal of Function Spaces, 2020 - Wiley Online Library
On Best Proximity Point Results for Some Type of Mappings Page 1 Research Article On Best
Proximity Point Results for Some Type of Mappings Vahid Parvaneh , 1,2 Mohammad Reza …

Best Proximity Point Results for Geraghty Type 𝒵-Proximal Contractions with an Application

H Işık, H Aydi, N Mlaiki, S Radenović - Axioms, 2019 - mdpi.com
In this study, we establish the existence and uniqueness theorems of the best proximity
points for Geraghty type 𝒵-proximal contractions defined on a complete metric space. The …

On best proximity point theorems in locally convex spaces endowed with a graph

B Saadaoui, S Lazaiz, M Aamri - International Journal of …, 2020 - Wiley Online Library
We consider the problem of best proximity point in locally convex spaces endowed with a
weakly convex digraph. For that, we introduce the notions of nonself G‐contraction and G …

A best proximity point theorem for C-class-proximal non-self mappings and applications to an integro-differential system of equations

MI Ayari, H Aydi, H Hammouda - Filomat, 2023 - doiserbia.nb.rs
In this paper, we propose a best proximity point theorem for a novel class of non-self-
mappings by using the definition of a pair (F, h) of upper class of type II and the concept of C …

[PDF][PDF] On best proximity points of generalized α− ψ-Geraghty contraction type mappings in b-metric spaces

H Afshari, H Aydi - J. Math. Anal, 2019 - ilirias.com
In this paper, we show the existence and uniqueness of the best proximity point for
generalized α− ψ-Geraghty contraction type mappings in b-metric spaces. 1. introduction In …

[PDF][PDF] Research Article On Best Proximity Point Results for Some Type of Mappings

V Parvaneh, MR Haddadi, H Aydi - 2020 - academia.edu
The set of best proximity points of Γ is denoted by PΓ ðM, N Þ. The research of best proximity
points is meaningful in optimization. The problem of existence of best proximity points in …

Informal Complete Metric Space and Fixed Point Theorems

HC Wu - Axioms, 2019 - mdpi.com
The concept of informal vector space is introduced in this paper. In informal vector space, the
additive inverse element does not necessarily exist. The reason is that an element in …