Fixed Point Results for Multi-Valued Contractions in b-Metric Spaces and an Application

被引：60
|
作者：
Qawaqneh, Haitham [1 ]
Noorani, Mohd Salmi Md [1 ]
Shatanawi, Wasfi [2 ,3 ,4 ]
Aydi, Hassen [5 ]
Alsamir, Habes [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math, Ukm Bangi 43600, Selangor De, Malaysia
[2] Prince Sultan Univ, Dept Math, Riyadh 11586, Saudi Arabia
[3] Prince Sultan Univ, Gen Courses, Riyadh 11586, Saudi Arabia
[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[5] Imam Abdulrahman Bin Faisal Univ, Coll Educ Jubail, Dept Math, POB 12020, Ind Jubail 31961, Saudi Arabia
来源：
MATHEMATICS | 2019年 / 7卷 / 02期
关键词：
alpha-admissible mapping of type S; multi-valued mapping; Fixed point; b-metric space; Hausdorff metric; MAPPINGS; THEOREMS; (ALPHA;
D O I：
10.3390/math7020132
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by characterizing a weak contractive condition based on using C-functions and alpha-admissible multi-valued mapping of type S, we present some fixed point results for (alpha, F)-admissible multi-valued mappings in the setting of b-metric spaces. Some examples and an application are added in order to show the reliability of our obtained results. Our results amend, unify, and generalize some existing results in the literature. The scientific novelty of our main results is to take new contraction self-mappings in b-metric spaces for multi-valued mappings.
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收藏
页数：13
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