Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application

被引：13

作者：

Abbas, Mujahid ^{[1
,2
]}

Lael, Fatemeh ^{[3
]}

Saleem, Naeem ^{[4
]}

机构：

[1] Govt Coll Univ, Dept Math, Lahore 54770, Pakistan

[2] Univ Pretoria, Dept Math & Appl Math, Lynnwood Rd, ZA-0002 Pretoria, South Africa

[3] Buein Zahra Tech Univ, Dept Math, Buein Zahra 3451745346, Qazvin, Iran

[4] Univ Management & Technol, Dept Math, Lahore 54400, Pakistan

来源：

AXIOMS | 2020年 / 9卷 / 02期

关键词：

fixed point; correspondence; fuzzy b-metric space; b-metric space; MULTIVALUED CONTRACTIONS; OPTIMAL COINCIDENCE; MAPPINGS; THEOREMS;

D O I：

10.3390/axioms9020036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the concepts of psi-contraction and monotone psi-contraction correspondence in "fuzzy b-metric spaces" and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and "fuzzy b-metric spaces". Further we address an open problem in b-metric and "fuzzy b-metric spaces". To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.

引用

页数：12

共 45 条

[1]

Abbas M., 2016, Fixed Point Theory Appl., V2016, P44, DOI [10.1186/s13663-016-0534-3, DOI 10.1186/S13663-016-0534-3]

[2] Double Controlled Metric Type Spaces and Some Fixed Point Results [J].

Abdeljawad, Thabet ;

Mlaiki, Nabil ;

Aydi, Hassen ;

Souayah, Nizar .

MATHEMATICS, 2018, 6 (12)

[3]

Abdeljawad T, 2015, J COMPUT ANAL APPL, V19, P883

[4] Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces [J].

Aghajani, Asadollah ;

Abbas, Mujahid ;

Roshan, Jamal Rezaei .

MATHEMATICA SLOVACA, 2014, 64 (04) :941-960

[5]

[Anonymous], 2019, MAT RES EXPRESS

[6]

Bakhtin I., 1989, Functinal Analysis Ulianowsk Gos. Ped. Inst, V30, P26, DOI DOI 10.1039/AP9892600037

[7]

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

[8]

Bourbaki N., 1976, TOPOLOGIE GEN

[9]

CAIN GL, 1976, MATH SYST THEORY, V9, P289

[10]

Czerwik S., 1993, ACTA MATH INF U OSTR, V1, P5

← 1 2 3 4 5 →