On F-contractions: A survey

N Fabiano, Z Kadelburg, N Mirkov… - Contemporary …, 2022 - ojs.wiserpub.com
D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by
introducing F-contractions in metric spaces. In the next ten years, a great number of …

[PDF][PDF] Best proximity point of generalized (F− τ)-proximal non-self contractions in generalized metric spaces

A Kari, HA Hammad, A Baiz… - Appl. Math. Inform …, 2022 - naturalspublishing.com
In this manuscript, we introduce the idea of generalized (F, τ)-proximal contraction and prove
new best proximity results for these contractions in the context of a generalized metric space …

Best Proximity Point Theorems for the Generalized Fuzzy Interpolative Proximal Contractions

K Javed, MMA Lashin, M Nazam, HH Al Sulami… - Fractal and …, 2022 - mdpi.com
The idea of best proximity points of the fuzzy mappings in fuzzy metric space was intorduced
by Vetro and Salimi. We introduce a new type of proximal contractive condition that ensures …

Best proximity point of generalized proximal non-self contractions

M Rossafi, A Kari - arXiv preprint arXiv:2309.08606, 2023 - arxiv.org
In this manuscript, motivated and inspired by results of Best proximity point of generalized $
F $-proximal non-self contractions, we introduce the concept of generalized $\theta-\phi …

Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions

S Som, M Gabeleh, M De la Sen - Axioms, 2022 - mdpi.com
In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions of
Geraghty type. Additionally, in the year 2021, Beg et al. introduced the concept of …

[PDF][PDF] The Best Proximity Point Problem for New Types of Ciric α− β− Contraction with Application

S Tiwari, M Dewangan - Indian Journal …, 2023 - sciresol.s3.us-east-2.amazonaws …
Objectives: To generate the best proximity point theorem for new types of Ciric α− β−
contraction. Methods: By using generalized α− β− proximal quasi contraction and Ciric type …

[PDF][PDF] Best proximity point for generalized proximal contraction in a complete metric space

PP Murthy, D Dolićanin-Dekić, UD Patel, P Sahu - Filomat, 2023 - doiserbia.nb.rs
Best proximity point for generalized proximal contraction in a complete metric space Page 1
Filomat 37:16 (2023), 5181–5193 https://doi.org/10.2298/FIL2316181M Published by Faculty of …

A note on the paper "Best proximity point of generalized -proximal non-self contractions

S Som - arXiv preprint arXiv:2108.04945, 2021 - arxiv.org
In the year 2021, Beg et al.\cite {beg}[J. Fixed Point Theory Appl.(2021)] introduced two
classes of non-self mappings namely, generalized $ F $-proximal contraction of the first kind …