On Unique and Nonunique Fixed Points and Fixed Circles in ‐Metric Space and Application to Cantilever Beam Problem

M Joshi, A Tomar, HA Nabwey… - Journal of Function …, 2021 - Wiley Online Library
We introduce M vb‐metric to generalize and improve M v‐metric and unify numerous
existing distance notions. Further, we define topological notions like open ball, closed ball …

Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems

S Shukla, N Dubey, R Shukla - Journal of Inequalities and Applications, 2023 - Springer
In this paper, we introduce the notion of graphical cone metric spaces over Banach algebra
and prove some fixed point results for a particular type of contractive mappings defined on …

On the (αψ)‐Contractive Mappings in C‐Algebra Valued b‐Metric Spaces and Fixed Point Theorems

S Omran, I Masmali - Journal of Mathematics, 2021 - Wiley Online Library
On the (α − ψ)‐Contractive Mappings in C∗‐Algebra Valued b‐Metric Spaces and Fixed Point
Theorems - Omran - 2021 - Journal of Mathematics - Wiley Online Library Skip to Article Content …

Fixed‐Point Results for Generalized α‐Admissible Hardy‐Rogers' Contractions in Cone ‐Metric Spaces over Banach's Algebras with Application

Z Islam, M Sarwar, M de la Sen - Advances in Mathematical …, 2020 - Wiley Online Library
In the current manuscript, the notion of a cone b 2‐metric space over Banach's algebra with
parameter b≻¯ e is introduced. Furthermore, using α‐admissible Hardy‐Rogers' contractive …

Common Fixed‐Point Theorems of Generalized (ψ, φ)−Weakly Contractive Mappings in b−Metric‐Like Spaces and Application

H Guan, J Li - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we prove some common fixed‐point theorems of generalized (ψ, φ)− weakly
contractive mappings in b− metric‐like spaces. We also give two examples to support our …

Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point results

W Ullah, H Işık, N Alam, C Park, JR Lee - Journal of Inequalities and …, 2022 - Springer
In this article, we introduce a new geometrical structure that is the hybrid of a cone metric
space over Banach algebra and a controlled metric-type space. We introduce a new metric …

Fixed Point Methodologies for ψ-Contraction Mappings in Cone Metric Spaces over Banach Algebra with Supportive Applications

RA Rashwan, HA Hammad, M Gamal… - International Journal of …, 2024 - etamaths.com
The explicit aim of this manuscript is to obtain fixed point consequences under novel ψ-
contraction mappings in a complete cone metric space over Banach algebra. We connect …

Some aspects of the n-ary orthogonal and b (αn, βn)-best approximations of b (αn, βn)-hypermetric spaces over Banach algebras

A Dehghan Nezhad, M Paunović, A Savic… - Demonstratio …, 2023 - scidar.kg.ac.rs
In this article, a definition of ab (α n, β n)--best approximations of b (α n, β n)-hypermetric
spaces over Banach algebras is given. Our objective is to prove the concept of extension of …

Nb-fuzzy metric spaces with topological properties and applications

J Fernandez, H Işık, N Malviya, F Jarad - 2023 - earsiv.cankaya.edu.tr
Our aim is to introduce the notion of Nb-fuzzy metric space (FMS). We also define quasi N-
FMS, and pseudo Nb-FMS with examples and counterexamples and prove a decomposition …

Some aspects of the n-ary orthogonal and b(αn,βn)-best approximations of b(αn,βn)-hypermetric spaces over Banach algebras

AD Nezhad, M Paunovic, A Savic… - Demonstratio …, 2023 - degruyter.com
In this article, a definition of ab (α n, β n)-best approximations of b (α n, β n)-hypermetric
spaces over Banach algebras is given. Our objective is to prove the concept of extension of …