Multivalued contraction maps on fuzzy b-metric spaces and an application

被引：5

作者：

Batul, Samina ^{[1
]}

Mehmood, Faisar ^{[1
]}

Hussain, Azhar ^{[2
]}

Sagheer, Dur-e-Shehwar ^{[1
]}

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

Mukheimer, Aiman ^{[6
]}

机构：

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

[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[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

[6] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 04期

关键词：

fuzzy b-metric space; Hausdorff fuzzy b-metric space; fixed point; multivalued mapping; FIXED-POINTS;

D O I：

10.3934/math.2022330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the concept of a Hausdorff fuzzy b-metric space is introduced. The new notion is used to establish some fixed point results for multivalued mappings in G-complete fuzzy b-metric spaces satisfying a suitable requirement of contractiveness. An illustrative example is formulated to support the results. Eventually, an application for the existence of a solution for an integral inclusion is established which involves showing the materiality of the obtained results. These results are more general and some theorems proved by of Shehzad et al. are their special cases.

引用

页码：5925 / 5942

页数：18

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