Author:
Mani Gunaseelan,Antony Maria A. R. M.,Mitrović Zoran D.,Aloqaily Ahmad,Mlaiki Nabil
Abstract
AbstractIn this paper, we propose the notion of extended neutrosophic rectangular metric space and prove some fixed point results under contraction mapping. Finally, as an application of the obtained results, we prove the existence and uniqueness of the Caputo fractional differential equation.
Publisher
Springer Science and Business Media LLC
Reference33 articles.
1. Banach, S.: Sur les oprations dans les ensembles abstraits et leurs applications aux equatins integrales. Fundam. Math. 3, 133–181 (1922)
2. Kirk, W., Shahzad, N.: Fixed Point Theory in Distance Spaces. Springer, Berlin (2014)
3. Karapınar, E., Agarwal, R.P.: Fixed Point Theory in Generalized Metric Spaces. Synthesis Lectures on Mathematics and Statistics. Springer, Berlin (2022)
4. Shatanawi, W., Abodayeh, K., Mukheimer, A.: Some fixed point theorems in extended b-metric spaces. Sci. Bull. “Politeh.” Univ. Buchar., Ser. A 80(4), 71–78 (2018)
5. Shatanawi, W., Shatnawi, T.A.: Some fixed point results based on contractions of new types for extended b-metric spaces. AIMS Math. 8, 10929–10946 (2023)