A new result on Branciari metric space using (α, γ)-contractive mappings

J Patil, B Hardan, AA Hamoud, A Bachhav… - … Algebra and its …, 2022 - degruyter.com
A new result on Branciari metric space using (α, γ)-contractive mappings Page 1 Open Access.
© 2022 J. Patil et al., published by De Gruyter. This work is licensed under the Creative …

New relation-theoretic fixed point theorems in fuzzy metric spaces with an application to fractional differential equations

SM Saleh, WM Alfaqih, S Sessa, F Di Martino - Axioms, 2022 - mdpi.com
In this paper, we introduce the notion of fuzzy R− ψ− contractive mappings and prove some
relevant results on the existence and uniqueness of fixed points for this type of mappings in …

Some fixed point results in metric spaces equipped with a graph and their applications

R George, E Tamrakar, S Al Haqbani… - Results in …, 2024 - nonlinear-analysis.com
In this paper, we define the notion of $(FH) _G $-contraction and utilize the same to obtain
fixed point results in the setting of metric spaces equipped with a graph. Our results …

Relation-Theoretic Coincidence and Common Fixed Point Results in Extended Rectangular b-Metric Spaces with Applications

Y Sun, X Liu - Symmetry, 2022 - mdpi.com
The objective of this paper is to obtain new relation-theoretic coincidence and common fixed
point results for some mappings F and g via hybrid contractions and auxiliary functions in …

[PDF][PDF] On Relational Weak (F m 脫, η)-Contractive Mappings and Their Applications

M Tariq, M Arshad, E Ameer, A Aloqaily, SS Aiadi… - 2023 - academia.edu
In this article, we introduce the concept of weak (Fm ℜ, η)-contractions on relation-theoretic
m-metric spaces and establish related fixed point theorems, where η is a control function …

Fuzzy relation-theoretic contraction principle

WM Alfaqih, M Imdad, S Sessa - Journal of Intelligent & Fuzzy …, 2021 - content.iospress.com
In this manuscript, we provide a new and novel generalization of the concept of fuzzy
contractive mappings due to Gregori and Sapena [Fuzzy Sets and Systems 125 (2002) 245 …

On Relational Weak F ℜ m, η-Contractive Mappings and Their Applications

M Tariq, M Arshad, E Ameer, A Aloqaily, SS Aiadi… - Symmetry, 2023 - mdpi.com
In this article, we introduce the concept of weak F ℜ m, η-contractions on relation-theoretic m-
metric spaces and establish related fixed point theorems, where η is a control function and ℜ …

Common Fixed Point Theorems for Generalized Contractive Pair of Mappings in a Metric Space and Their Application to Fractional Calculus

P Goel, M Kumar, D Singh… - Journal of Applied …, 2022 - Wiley Online Library
In this manuscript, we have established relation‐theoretic version of some common fixed
point results in metric space for generalized β− ϕ− Z‐contractive pair of mappings furnished …

Edge Theoretic Extended Contractions and Their Applications

R Rajagopalan, E Tamrakar… - Journal of Function …, 2021 - Wiley Online Library
Edge theoretic extended contractions are introduced and coincidence point theorems and
common fixed‐point theorems are proved for such contraction mappings in a metric space …

Coincidence Point Results on Relation Theoretic F w, R g‐Contractions and Applications

M Aslam, H Aydi, S Batul, A Naz - Journal of Function Spaces, 2021 - Wiley Online Library
Motivated by the ideas of F‐weak contractions and F, R g‐contractions, the notion of F w, R g‐
contractions is introduced and studied in the present paper. The idea is to establish some …