Best Proximity Points of -Cyclic Contractions with Property UC

H Aydi, H Lakzian, ZD Mitrović… - … Functional Analysis and …, 2020 - Taylor & Francis
We initiate the notion of generalized MT-cyclic contraction mappings with respect to an
auxiliary function φ and investigate the existence of a best proximity point of such mappings …

KW-Type Nonlinear Contractions and Their Best Proximity Points

I Altun, M Aslantas, H Sahin - Numerical Functional Analysis and …, 2021 - Taylor & Francis
In this paper, we present two main results about best proximity points for multivalued
mappings. First, taking into account Klim and Wardowski's approach in fixed-point theory, we …

[HTML][HTML] Recent advances on the results for nonunique fixed in various spaces

E Karapınar - Axioms, 2019 - mdpi.com
In this short survey, we aim to underline the importance of the non-unique fixed point results
in various abstract spaces. We recall a brief background on the topic and we combine …

Fixed‐point theorem for a generalized almost Hardy‐Rogers‐type F contraction on metric‐like spaces

P Saipara, K Khammahawong… - … methods in the applied …, 2019 - Wiley Online Library
In this paper, we introduce some fixed‐point theorems for a generalized almost Hardy‐
Rogers‐type F contraction in a metric‐like space and give an example to illustrate these …

[HTML][HTML] Best proximity point theorems on rectangular metric spaces endowed with a graph

N Souayah, H Aydi, T Abdeljawad, N Mlaiki - Axioms, 2019 - mdpi.com
Axioms | Free Full-Text | Best Proximity Point Theorems on Rectangular Metric Spaces
Endowed with a Graph Next Article in Journal Complex Soliton Solutions to the Gilson–Pickering …

[PDF][PDF] On new types of contraction mappings in bipolar metric spaces and applications

GNV Kishore, H Işık, H Aydi, BS Rao… - Journal of Linear and …, 2020 - journals.iau.ir
Our aim is to present some common fixed point theorems in bipolar metric spaces via certain
contractive conditions. Some examples have been provided to illustrate the effectiveness of …

[HTML][HTML] Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces

H Qawaqneh, M Noorani, W Shatanawi, H Alsamir - Axioms, 2018 - mdpi.com
The aim of this paper is to establish the existence of some common fixed point results for
generalized Geraghty (α, ψ, ϕ)-quasi contraction self-mapping in partially ordered metric …

Fixed point theorems for generalized Roger Hardy type F-contraction mappings in a metric-like space with an application to second-order differential equations

K Khammahawong, P Kumam - Cogent Mathematics, 2017 - Taylor & Francis
In this paper, we present fixed point theorems for a generalized Roger Hardy type F-
contraction in metric-like spaces and also give some examples to illustrate the main results …

[HTML][HTML] A New Best Proximity Point Results in Partial Metric Spaces Endowed with a Graph

A Aloqaily, N Souayah, K Matawie, N Mlaiki… - Symmetry, 2023 - mdpi.com
For a given mapping f in the framework of different spaces, the fixed-point equations of the
form fx= x can model several problems in different areas, such as differential equations …

[HTML][HTML] 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 …