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

Autor: Zahia Djedid, Sharifa Al-Sharif, Mohammad Al-Khaleel, Jamila Jawdat
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100559- (2023)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2023.100559
Popis: 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.
Databáze: Directory of Open Access Journals