Work

On deformable fractional order implicit differential equations involving orthogonal super metric spaces

Year: 2025

Type: article

Abstract: In this manuscript, we use the notion of orthogonality in a super metric space and prove some fixed point theorems that focus on orthogonal contractions and orthogonal $ \mathcal{F} $-contractions, which are types of mappings exhibiting particular contraction properties while satisfying orthogonality. To illustrate and support our theoretical results, we provide concrete examples that demonstrate the application of these findings. Furthermore, we show how our results can be utilized in practical scenarios by presenting a solution to a deformable implicit differential equation, highlighting the relevance of our work in both theoretical and applied contexts.

Source: AIMS Mathematics

DOI: 10.3934/math.2025653

Authors: Amit Gangwar, Shivam Rawat, Hassen Aydi, Saber Mansour, Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

Institutions: Hemwati Nandan Bahuguna Garhwal University, Graphic Era University, Sefako Makgatho Health Sciences University, Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse, University of Sousse, Umm al-Qura University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Umm Al-Qura University

OpenAlex ID: W4411679863

FWCI:

Cites: 23

Cited by:

Related to: 10