Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications

被引：1

作者：

Albargi, Amer Hassan ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS | 2023年 / 2023卷

关键词：

THEOREMS;

D O I：

10.1155/2023/4105842

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to define generalized rational contractions in the setting of graphical b-metric spaces and obtain some fixed-point theorems. Our results are significant generalizations and extensions of some well-known results in the existing theory. We also supply a nontrivial example to show the validity of the obtained theorems. As applications, we obtain some results on rational expressions in the background of graphical metric spaces.

引用

页数：10

共 21 条

[1]

Agarwal R. P., 2001, Fixed point theory and applications

[2]

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

[3]

Banach S., 1922, Fundamenta Mathematicae, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]

[4] Fixed point theorems for set-valuedG-contractions in a graphical convex metric space with applications [J].

Chen, Lili ;

Yang, Ni ;

Zhao, Yanfeng ;

Ma, Zhenhua .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (04)

[5] Graphic Contraction Mappings via Graphical b-Metric Spaces with Applications [J].

Chuensupantharat, Nantaporn ;

Kumam, Poom ;

Chauhan, Varsha ;

Singh, Deepak ;

Menon, Radhika .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) :3149-3165

[6]

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

[7]

Dass B.K., 1975, Indian Journal of Pure and Applied Mathematics, V6, P1455

[8]

Debnath P., 2022, Fixed Point Theory and Fractional Calculus

[9]

Debnath P., 2021, Metric Fixed Point Theory, DOI 10.1007/978- 981-16-4896-0

[10]

Fisher B., 1980, Bull. Math. Soc. Sci. Math. R. S. Roumanie, V24, P247

← 1 2 3 →