Common fixed point results in F-metric spaces with application to nonlinear neutral differential equation

被引：0

作者：

Zahed, Hanadi ^{[1
]}

Al-Rawashdeh, Ahmed ^{[2
]}

Ahmad, Jamshaid ^{[3
]}

机构：

[1] Taibah Univ, Coll Sci, Dept Math, Madina 41411, Saudi Arabia

[2] UAE Univ, Dept Math Sci, Al Ain 15551, U Arab Emirates

[3] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 02期

关键词：

fixed point; F-metric space; generalized contractions; control functions; differential equation; THEOREMS;

D O I：

10.3934/math.2023237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to obtain common fixed point results for generalized contractions involving control functions of two variables in the context of F-metric spaces. We also furnish an example to show the originality of our main result. Some results in the context of F-metric space equipped with a directed graph G are also established. As an application, we discuss the existence of solution to nonlinear neutral differential equation.

引用

页码：4786 / 4805

页数：20

共 23 条

[1]

Al-Mazrooei AE, 2019, J MATH ANAL, V10, P79

[2] Fixed Point Theorems for Generalized (αβ-ψ)-Contractions in F-Metric Spaces with Applications [J].

Al-Mezel, Saleh Abdullah ;

Ahmad, Jamshaid ;

Marino, Giuseppe .

MATHEMATICS, 2020, 8 (04)

[3] Fuzzy Fixed Point Results in F-Metric Spaces with Applications [J].

Alansari, Monairah ;

Mohammed, Shehu Shagari ;

Azam, Akbar .

JOURNAL OF FUNCTION SPACES, 2020, 2020

[4]

Alnaser L. A., 2019, J. Nonlinear Sci. Appl., V12, P337, DOI 10.22436/jnsa.012.05.06

[5] New Fixed Point Theorems with Applications to Non-Linear Neutral Differential Equations [J].

Alnaser, Laila A. ;

Ahmad, Jamshaid ;

Lateef, Durdana ;

Fouad, Hoda A. .

SYMMETRY-BASEL, 2019, 11 (05)

[6] Common fixed point results in function weighted metric spaces [J].

Alqahtani, Obaid ;

Karapinar, Erdal ;

Shahi, Priya .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[7]

[Anonymous], 2006, Georgian Math. J., DOI DOI 10.1515/GMJ.2006.25

[8]

Bakhtin I.A., 1989, Funct. Anal. Gos. Ped. Inst. Ulianowsk, V30, P26, DOI DOI 10.1039/AP9892600037

[9]

Branciari A, 2000, PUBL MATH-DEBRECEN, V57, P31

[10]

Czerwik S., 1993, Acta Math. Inform. Univ. Ostrav., V1, P5

← 1 2 3 →