Solution of integral equations for multivalued maps in fuzzy b-metric spaces using Geraghty type contractions

被引：0

作者：

Ali, Rashid ^{[1
]}

Mehmood, Faisar ^{[1
]}

Saghir, Aqib ^{[1
]}

Aydi, Hassen ^{[2
,3
,4
]}

Mansour, Saber ^{[5
]}

Kallel, Wajdi ^{[5
]}

机构：

[1] Capital Univ Sci & Technol, Dept Math, Islamabad, Pakistan

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

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

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

[5] Umm Al Qura Univ, Fac Appl Sci, Dept Math, POB 14035, Holly Makkah 21955, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 07期

关键词：

Geraghty type contractions; Hausdorff fuzzy b-metric space; fuzzy b-metric space; fuzzy metric space; FIXED-POINT THEOREMS;

D O I：

10.3934/math.2023851

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the notion of Hausdorff fuzzy b-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in G-complete fuzzy b-metric spaces are established. To strengthen the results, an illustrative example is furnished. A fuzzy integral inclusion is constructed as an application of fixed point result which shows the validity of the proved results. The presented outcomes are the generalization of the existing results in literature.

引用

页码：16633 / 16654

页数：22

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