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New Fixed Point Theorems with Applications to Non-Linear Neutral Differential Equations

New Fixed Point Theorems with Applications to Non-Linear Neutral Differential Equations

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 (<inline-formula> <math display="inline&...

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Bibliographic Details
Main Authors: Laila A. Alnaser, Jamshaid Ahmad, Durdana Lateef, Hoda A. Fouad
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Symmetry
Subjects:
nonlinear neutral differential equation
<named-content content-type="equation"><inline-formula> <mml:math id="mm2222" display="block"> <mml:semantics> <mml:mi mathvariant="script">F</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-metric space
(<named-content content-type="equation"><inline-formula> <mml:math id="mm1111" display="block"> <mml:semantics> <mml:mrow> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>φ</mml:mi> </mml:mrow> </mml:semantics> </mml:math> </inline-formula></named-content>) rational contraction
fixed point
Online Access:https://www.mdpi.com/2073-8994/11/5/602
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https://www.mdpi.com/2073-8994/11/5/602

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