Enhancing Generalized Interpolative Contraction Through Simulation Functions

Ekber Girgin

doi:10.36753/mathenot.1573566

EN

Enhancing Generalized Interpolative Contraction Through Simulation Functions

Abstract

In the present manuscript, we elucidate a comprehensive framework for the generalized interpolative $\alpha-(\psi,\varphi)_Z-$contractive mapping, thereby extending the foundational theoretical constructs to augment its utility within the domain of advanced mathematical analysis. The investigation encompasses a meticulous examination of fixed point results within the context of non-Archimedean modular metric spaces, which are characterized by their distinctive structural properties that diverge from those of conventional metric spaces. Moreover, we apply the results attained to substantiate the existence and uniqueness of solutions pertaining to nonlinear Fredholm integral equations. This aspect of our inquiry underscores the practical implications of our theoretical advancements and provides a rigorous framework for the resolution of complex integral equations through the principles of established contractive mappings.

Keywords

Admissible mappings, Fredholm integral equations, Interpolative contractions, Simulation functions

References

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Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Authors

Ekber Girgin ^*
0000-0002-8913-5416
Türkiye

Early Pub Date

March 6, 2025

Publication Date

March 8, 2025

Submission Date

October 25, 2024

Acceptance Date

February 9, 2025

Published in Issue

Year 2025 Volume: 13 Number: 1

DOI

https://doi.org/10.36753/mathenot.1573566

IZ

https://izlik.org/JA47JD98LD

APA

Girgin, E. (2025). Enhancing Generalized Interpolative Contraction Through Simulation Functions. Mathematical Sciences and Applications E-Notes, 13(1), 54-64. https://doi.org/10.36753/mathenot.1573566

AMA

1.Girgin E. Enhancing Generalized Interpolative Contraction Through Simulation Functions. Math. Sci. Appl. E-Notes. 2025;13(1):54-64. doi:10.36753/mathenot.1573566

Chicago

Girgin, Ekber. 2025. “Enhancing Generalized Interpolative Contraction Through Simulation Functions”. Mathematical Sciences and Applications E-Notes 13 (1): 54-64. https://doi.org/10.36753/mathenot.1573566.

EndNote

Girgin E (March 1, 2025) Enhancing Generalized Interpolative Contraction Through Simulation Functions. Mathematical Sciences and Applications E-Notes 13 1 54–64.

IEEE

[1]E. Girgin, “Enhancing Generalized Interpolative Contraction Through Simulation Functions”, Math. Sci. Appl. E-Notes, vol. 13, no. 1, pp. 54–64, Mar. 2025, doi: 10.36753/mathenot.1573566.

ISNAD

Girgin, Ekber. “Enhancing Generalized Interpolative Contraction Through Simulation Functions”. Mathematical Sciences and Applications E-Notes 13/1 (March 1, 2025): 54-64. https://doi.org/10.36753/mathenot.1573566.

JAMA

1.Girgin E. Enhancing Generalized Interpolative Contraction Through Simulation Functions. Math. Sci. Appl. E-Notes. 2025;13:54–64.

MLA

Girgin, Ekber. “Enhancing Generalized Interpolative Contraction Through Simulation Functions”. Mathematical Sciences and Applications E-Notes, vol. 13, no. 1, Mar. 2025, pp. 54-64, doi:10.36753/mathenot.1573566.

Vancouver

1.Ekber Girgin. Enhancing Generalized Interpolative Contraction Through Simulation Functions. Math. Sci. Appl. E-Notes. 2025 Mar. 1;13(1):54-6. doi:10.36753/mathenot.1573566

Cited By

On Modular $b-$Suprametric Spaces and Fixed Point Results

Universal Journal of Mathematics and Applications

https://doi.org/10.32323/ujma.1936538

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