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

被引：0

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] Abbas M., 2022, Fixed point theory and fractional calculus, recent advances and applications, P213, DOI [10.1007/978-981-19-0668-812, DOI 10.1007/978-981-19-0668-812]
[2] AGARWAL RP, 2001, FIXED POINT THEORY A, V141
[3] Bakhtin I.A., 1989, FUNCT ANAL GOS PED I, V30, P26, DOI DOI 10.1039/AP9892600037
[4] Banach S., 1922, FUND MATH, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
[5] Fixed point theorems for set-valuedG-contractions in a graphical convex metric space with applications
Chen, Lili
Yang, Ni
Zhao, Yanfeng
Ma, Zhenhua
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (04)
[6] Graphic Contraction Mappings via Graphical b-Metric Spaces with Applications
Chuensupantharat, Nantaporn
Kumam, Poom
Chauhan, Varsha
Singh, Deepak
Menon, Radhika
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3149 - 3165
[7] Czerwik S., 1993, ACTA MATH INF U OSTR, V1, P5
[8] Dass B.K., 1975, Indian J. pure appl. Math, V6, P1455
[9] Debnath P., 2021, METRIC FIXED POINT T
[10] Fisher B., 1980, B MATH SOC SCI MATH, V24, P247

← 1 2 3 →