Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

被引：3
|
作者：
Rehman, Saif Ur [1 ]
Aydi, Hassen [2 ,3 ,4 ]
Chen, Gui-Xiu [5 ]
Jabeen, Shamoona [6 ]
Khan, Sami Ullah [1 ]
机构：
[1] Gomal Univ, Dept Math, Dera Ismail Khan 29050, Pakistan
[2] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse, Tunisia
[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa
[4] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan
[5] Qinghai Normal Univ, Sch Math & Stat, Xining 810008, Peoples R China
[6] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期
关键词：
Fixed point; Fuzzy cone metric space; Hausdorff metric; Contraction conditions; FIXED-POINT THEOREMS; MAPPINGS;
D O I：
10.1186/s13660-021-02646-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.
引用
收藏
页数：19
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