Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications

被引：25
|
作者：
Saleem, Naeem [1 ]
Ali, Basit [2 ]
Abbas, Mujahid [3 ]
Raza, Zahid [1 ]
机构：
[1] Natl Univ Comp & Emerging Sci, Dept Math, Lahore, Pakistan
[2] Univ Management & Technol, Sch Sci & Technol, Dept Math, Lahore, Pakistan
[3] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
Suzuki type mapping; fuzzy metric space; fixed point; multivalued mapping; t-norm; CONTRACTIVE MAPPINGS; THEOREMS; UNIQUENESS; EXISTENCE;
D O I：
10.1186/s13663-015-0284-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to introduce a class of multivalued mappings satisfying a Suzuki type generalized contractive condition in the framework of fuzzy metric spaces and to present fixed point results for such mappings. Some examples are presented to support the results proved herein. As an application, a common fixed point result for a hybrid pair of single and multivalued mappings is obtained. We show the existence and uniqueness of a common bounded solution of functional equations arising in dynamic programming. Our results generalize and extend various results in the existing literature.
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页数：18
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