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

被引：13
|
作者：
Alnaser, Laila A. [1 ]
Ahmad, Jamshaid [2 ]
Lateef, Durdana [1 ]
Fouad, Hoda A. [1 ,3 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, Al Madina Al Munawara 41411, Saudi Arabia
[2] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia
[3] Alexandria Univ, Fac Sci, Alexandria 21500, Egypt
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 05期
关键词：
nonlinear neutral differential equation; F-metric space; (alpha; phi) rational contraction; fixed point;
D O I：
10.3390/sym11050602
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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 (phi) rational contraction, as well as cyclic contractions in the context of F-metric spaces. We also supply an example to support the new theorem.
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页数：11
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