DOAJ Open Access 2023

On solutions of differential and integral equations using new fixed point results in cone Eb-metric spaces

Zahia Djedid Sharifa Al-Sharif Mohammad Al-Khaleel Jamila Jawdat

Abstrak

The focus of this study is to establish the existence and uniqueness of solutions for differential and integral equations within specific metric spaces. Our investigation begins by introducing the concept of the so-called cone Eb-metric space and presenting crucial findings in this particular space. We have presented fixed point results for specific contractions, particularly in the context of non-solid cones that possess semi-interior points. Not only do the results enhance specific previous fixed points outcomes, but they also encompass and extend previous findings documented in the literature. Furthermore, we apply our findings in the cone Eb-metric space to various examples and applications. The ultimate outcome is the rigorous validation of the existence and uniqueness of solutions for certain differential and integral equations.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (4)

Zahia Djedid

Sharifa Al-Sharif

Mohammad Al-Khaleel

Jamila Jawdat

Format Sitasi

APA MLA BibTeX

Djedid, Z., Al-Sharif, S., Al-Khaleel, M., Jawdat, J. (2023). On solutions of differential and integral equations using new fixed point results in cone Eb-metric spaces. https://doi.org/10.1016/j.padiff.2023.100559

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2023.100559
Akses: Open Access ✓