New fixed point theorems with applications to non-linear neutral differential equations (Q2337987)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New fixed point theorems with applications to non-linear neutral differential equations |
scientific article |
Statements
New fixed point theorems with applications to non-linear neutral differential equations (English)
0 references
20 November 2019
0 references
Summary: The aim of this study is to investigate the existence of solutions for a non-linear neutral differential equation with an unbounded delay. To achieve our goals, we take advantage of fixed point theorems for self-mappings satisfying a generalized (\(\alpha, \varphi\)) rational contraction, as well as cyclic contractions in the context of \(\mathcal{F}\)-metric spaces. We also supply an example to support the new theorem.
0 references
nonlinear neutral differential equation
0 references
\(\mathcal F\)-metric space
0 references
(\(\alpha, \varphi\)) rational contraction
0 references
fixed point
0 references
