Extended rectangular fuzzy b-metric space with application

被引：5

作者：

Saleem, Naeem ^{[1
]}

Furqan, Salman ^{[1
]}

Abbas, Mujahid ^{[2
,3
]}

Jarad, Fahd ^{[4
,5
]}

机构：

[1] Univ Management & Technol, Dept Math, Lahore 54000, Pakistan

[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 09期

关键词：

fuzzy metric space; rectangular fuzzy b -metric space; Ciric type contractions; fixed points; integral equations; FIXED-POINT THEOREMS;

D O I：

10.3934/math.2022885

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff. A Banach fixed point theorem is proved as a special case of our main result where a ' Ciric type contraction was employed. Our main result generalizes some comparable results in rectangular fuzzy b-metric space and rectangular fuzzy metric space. We provide some examples to support the concepts and results presented herein. As an application of our result, we obtain the existence of the solution of the integral equation.

引用

页码：16208 / 16230

页数：23

共 33 条

[11] Frechet M., 1906, REND CIRC MAT PALERM, V22, P1, DOI DOI 10.1007/BF03018603
[12] Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results
Furqan, Salman
Isik, Huseyin
Saleem, Naeem
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
[13] ON SOME RESULTS IN FUZZY METRIC-SPACES
GEORGE, A
VEERAMANI, P
[J]. FUZZY SETS AND SYSTEMS, 1994, 64 (03) : 395 - 399
[14] FIXED-POINTS IN FUZZY METRIC-SPACES
GRABIEC, M
[J]. FUZZY SETS AND SYSTEMS, 1988, 27 (03) : 385 - 389
[15] On fixed-point theorems in fuzzy metric spaces
Gregori, V
Sapena, A
[J]. FUZZY SETS AND SYSTEMS, 2002, 125 (02) : 245 - 252
[16] On Convex F-Contraction in b-Metric Spaces
Huang, Huaping
Mitrovic, Zoran D.
Zoto, Kastriot
Radenovic, Stojan
[J]. AXIOMS, 2021, 10 (02)
[17] RANDOM FIXED-POINT THEOREMS WITH AN APPLICATION TO RANDOM DIFFERENTIAL-EQUATIONS IN BANACH-SPACES
ITOH, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 67 (02) : 261 - 273
[18] FUZZY DIFFERENTIAL-EQUATIONS
KALEVA, O
[J]. FUZZY SETS AND SYSTEMS, 1987, 24 (03) : 301 - 317
[19] A Generalization of b-Metric Space and Some Fixed Point Theorems
Kamran, Tayyab
Samreen, Maria
Ain, Qurat U. L.
[J]. MATHEMATICS, 2017, 5 (02):
[20] KRAMOSIL I, 1975, KYBERNETIKA, V11, P336

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