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

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作者
Naeem Saleem
Basit Ali
Mujahid Abbas
Zahid Raza
机构
[1] National University of Computer and Emerging Sciences,Department of Mathematics
[2] University of Management and Technology,Department of Mathematics, School of Science and Technology
[3] University of Pretoria,Department of Mathematics and Applied Mathematics
关键词
Suzuki type mapping; fuzzy metric space; fixed point; multivalued mapping; -norm; 47H10; 47H04; 47H07;
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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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