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.

引用

页数：11

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