| Autor: |
Nizar Souayah, Nabil Mlaiki, Salma Haque, Doaa Rizk, Amani S. Baazeem, Wasfi Shatanawi |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 7, Iss 10, Pp 17802-17814 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2022980?viewType=HTML |
| Popis: |
In this manuscript, we introduce a three dimension metric type spaces so called $ J $-metric spaces. We prove the existence and uniqueness of a fixed point for self mappings in such spaces with different types of contractions. We use our result to prove the existence and uniqueness of a solution of the following fractional differential equations such as $ \mathcal{(P)}:\left\{ \begin{array}{ccl} D^{\lambda}x(t) & = & f(t,x(t)) = Fx(t) \;{\rm{ if }}\; t\in I_0 = (0,T] \\ x(0) & = & x(T) = r \\ \end{array} \right\} . $ Moreover, we present other applications to systems of linear equations and Fredholm type integral equation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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