New fixed point results in orthogonal b-metric spaces with related applications

AJ Gnanaprakasam, G Mani, O Ege, A Aloqaily… - Mathematics, 2023 - mdpi.com
In this article, we present the concept of orthogonal α-almost Istr a˘ tescu contraction of types
D and D* and prove some fixed point theorems on orthogonal b-metric spaces. We also …

Solving an integral equation via orthogonal Branciari metric spaces

A Mukheimer, AJ Gnanaprakasam… - Journal of Function …, 2022 - Wiley Online Library
Solving an Integral Equation via Orthogonal Branciari Metric Spaces Page 1 Research
Article Solving an Integral Equation via Orthogonal Branciari Metric Spaces Aiman …

[HTML][HTML] Common fixed-points technique for the existence of a solution to fractional integro-differential equations via orthogonal Branciari metric spaces

AJ Gnanaprakasam, G Nallaselli, AU Haq, G Mani… - Symmetry, 2022 - mdpi.com
The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate
the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular …

On orthogonal coupled fixed point results with an application

G Mani, AJ Gnanaprakasam, K Javed… - Journal of Function …, 2022 - Wiley Online Library
In this manuscript, owing to the concept of orthogonal coupled contraction map**s type I
and II, we prove coupled fixed point theorem in orthogonal metric spaces. In order to …

A Study on Fixed-Point Techniques under the α-ϝ-Convex Contraction with an Application

G Nallaselli, AJ Gnanaprakasam, G Mani, O Ege… - Axioms, 2023 - mdpi.com
In this paper, we consider several classes of map**s related to the class of α-ϝ-
contraction map**s by introducing a convexity condition and establish some fixed-point …

Solution to Integral Equation in an O-Complete Branciari b-Metric Spaces

M Dhanraj, AJ Gnanaprakasam, G Mani, O Ege… - Axioms, 2022 - mdpi.com
In this paper, we prove fixed point theorem via orthogonal Geraghty type α-admissible
contraction map in an orthogonal complete Branciari b-metric spaces context. An example is …

[PDF][PDF] Solution of the volterra integral equation in orthogonal partial ordered metric spaces

SK Prakasam, AJ Gnanaprakasam - IAENG International Journal …, 2023 - researchgate.net
In this paper, we introduce a new concept of an orthogonal partial order metric space. We
also establish some new fixed point theorems for an orthogonal rational type contraction …

[HTML][HTML] Common fixed point theorems on orthogonal Branciari metric spaces with an application

G Mani, SK Prakasam, AJ Gnanaprakasam… - Symmetry, 2022 - mdpi.com
In this article, we modify the symmetry of orthogonal metric spaces and we prove common
fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We …

Fixed Point Theorems on Controlled Orthogonal δ‐Metric‐Type Spaces and Applications to Fractional Integrals

BW Samuel, G Mani, P Ganesh… - Journal of Function …, 2025 - Wiley Online Library
In this article, we introduce a notion of controlled orthogonal δ‐metric‐type spaces with an
example. Further, we prove a contraction theorem and a generalized fixed point theorem in …

New Fixed Point Results in Orthogonal Neutrosophic Triple Controlled Rectangular b-Metric Spaces

G Mani, O Ege, R Ramanathan… - Soft Computing, 2024 - taylorfrancis.com
Soft Computing: Engineering Applications Page 1 8 New Fixed Point Results in Orthogonal
Neutrosophic Triple Controlled Rectangular b-Metric Spaces Gunaseelan Mani, Ozgur Ege …