Work

On the Fixed Point Theorem for Large Contraction Mappings with Applications to Delay Fractional Differential Equations

Year: 2024

Type: article

Abstract: This paper explores a new class of mappings and presents several fixed-point results for these mappings. We define these mappings by combining well-known mappings in the literature, specifically the large contraction mapping and Chatterjea’s mapping. This combination allows us to achieve significant fixed-point results in complete metric spaces, both in a continuous and a non-continuous sense. Additionally, we provide an explicit example to validate our findings. Furthermore, we discuss a general model for fractional differential equations using the Caputo derivative. Finally, we outline the benefits of our study and suggest potential areas for future research.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120703

Authors: Mouataz Billah Mesmouli, Elvan Akın, Loredana Florentina Iambor, Osman Tunç, Taher S. Hassan

Institutions: University of Ha'il, Missouri University of Science and Technology, University of Oradea, Van Yüzüncü Yıl Üniversitesi, Mansoura University, Jadara University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4404819918

FWCI: 6.73

Cites: 23

Cited by: 10

Related to: 10