Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications

被引：1

作者：

Qawaqneh, Haitham ^{[1
]}

Noorani, Mohd Salmi Md ^{[2
]}

Aydi, Hassen ^{[3
,4
,5
]}

机构：

[1] Al Zaytoonah Univ Jordan, Fac Sci & Informat Technol, Dept Math, Amman 11733, Jordan

[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Selangor, Malaysia

[3] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[4] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 03期

关键词：

fuzzy b-metric space; simulation function; fixed point; integral equation; FIXED-POINT THEOREMS; INTEGRAL-EQUATIONS; MAPPINGS;

D O I：

10.3934/math.2023338

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we initiate the notion of a fuzzy cyclic (alpha, fl)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.

引用

页码：6682 / 6696

页数：15

共 44 条

[21] FUZZY MAPPINGS AND FIXED-POINT THEOREM
HEILPERN, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 83 (02) : 566 - 569
[22] Common fixed point theorems under rational contractions for a pair of mappings in bicomplex valued metric spaces
Jebril, Iqbal H.
Datta, Sanjib Kumar
Sarkar, Rakesh
Biswas, Nityagopal
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (07) : 1071 - 1082
[23] FUZZY DIFFERENTIAL-EQUATIONS
KALEVA, O
[J]. FUZZY SETS AND SYSTEMS, 1987, 24 (03) : 301 - 317
[24] Karap~nar E., 2016, Filomat, V30, P2343, DOI DOI 10.2298/FIL1608343K
[25] A New Approach to the Study of Fixed Point Theory for Simulation Functions
Khojasteh, Farshid
Shukla, Satish
Radenovic, Stojan
[J]. FILOMAT, 2015, 29 (06) : 1189 - 1194
[26] Klement E.P., 2000, Triangular Norms
[27] KRAMOSIL I, 1975, KYBERNETIKA, V11, P336
[28] A Banach contraction theorem in fuzzy metric spaces
Mihet, D
[J]. FUZZY SETS AND SYSTEMS, 2004, 144 (03) : 431 - 439
[29] Fixed set theory for closed correspondences with applications to self-similarity and games
Ok, EA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (03) : 309 - 330
[30] Proving new fixed point results in fuzzy metric spaces employing simulation function
Perveen, Atiya
Imdad, Mohammad
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (06) : 6493 - 6501

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