Existence and uniqueness for a neutral differential problem with unbounded delay via fixed point results. (English) Zbl 1430.34090
Having established several fixed point theorems for mappings of contractive type defined on the generalized metric spaces introduced by M. Jleli and B. Samet [J. Fixed Point Theory Appl. 20, No. 3, Paper No. 128, 20 p. (2018; Zbl 1401.54015)], the authors of the present paper use one of their results in order to prove the existence and uniqueness of solutions to certain nonlinear neutral functional differential equations with unbounded delay.
Reviewer: Simeon Reich (Haifa)
Keywords:
\(\alpha\)-\(\psi\)-contraction; fixed point; \(\mathcal{F}\)-metric space; delay differential equationCitations:
Zbl 1401.54015References:
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