Application of fixed points in bipolar controlled metric space to solve fractional differential equation

G Mani, R Ramaswamy, AJ Gnanaprakasam… - Fractal and …, 2023 - mdpi.com
Fixed point results and metric fixed point theory play a vital role to find the unique solution to
differential and integral equations. Likewise, fractal calculus has vast physical applications …

[HTML][HTML] Solving Fractional Boundary Value Problems with Nonlocal Mixed Boundary Conditions Using Covariant JS-Contractions

N Hussain, N Alharbi, G Basendwah - Symmetry, 2024 - mdpi.com
This paper investigates the existence, uniqueness, and symmetry of solutions for Φ–
Atangana–Baleanu fractional differential equations of order μ∈(1, 2] under mixed nonlocal …

Boyd-Wong type contractions in generalized parametric bipolar metric space

M Kumar, O Ege, V Mor, P Kumar, M De la Sen - Heliyon, 2024 - cell.com
In this manuscript, we introduce a new notion of generalized parametric bipolar metric space
as a generalization of generalized parametric space and bipolar metric space. We also …

[HTML][HTML] Efficient techniques on bipolar parametric ν-metric space with application

G Mani, S Chinnachamy, S Palanisamy… - Journal of King Saud …, 2024 - Elsevier
This work aims to motivate the bipolar parametric metric space introduced by Pasha et al.
We introduce the concept of bipolar parametric ν-metric space. Afterward, we state and …

(αψ) Meir–Keeler Contractions in Bipolar Metric Spaces

M Kumar, P Kumar, R Ramaswamy, OAA Abdelnaby… - Mathematics, 2023 - mdpi.com
In this paper, we introduce the new notion of contravariant (α− ψ) Meir–Keeler contractive
map**s by defining α-orbital admissible map**s and covariant Meir–Keeler contraction …

Solving a fractional differential equation via the bipolar parametric metric space

MI Pasha, KRK Rao, G Mani… - Journal of …, 2024 - Wiley Online Library
Solving a Fractional Differential Equation via the Bipolar Parametric Metric Space - Pasha - 2024
- Journal of Mathematics - Wiley Online Library Skip to Article Content Skip to Article Information …

Fixed point results for ℑ-Contractions in JS-generalized metric spaces with an application

B Iqbal, N Saleem, M Aphane, A Razzaque - PloS one, 2025 - journals.plos.org
The goal of this work is to establish ℑ-contractions and to show some novel fixed point
theorems for these contractive conditions in the setting of generalized metric spaces in the …

[HTML][HTML] Applications to Nonlinear Fractional Differential Equations via Common Fixed Point on ℂ-Algebra-Valued Bipolar Metric Spaces

G Mani, AJ Gnanaprakasam, P Subbarayan… - Fractal and …, 2023 - mdpi.com
In the present paper, we prove common fixed point theorems under different contractive
map**s on C★-algebra-valued bipolar metric spaces. The results generalize and expand …

[PDF][PDF] and Stojan Radenovic 5

M Kumar, P Kumar, R Ramaswamy… - Advances in Fixed …, 2023 - researchgate.net
In this paper, we introduce the new notion of contravariant (α− ψ) Meir–Keeler contractive
map**s by defining α-orbital admissible map**s and covariant Meir–Keeler contraction …