Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications
Naeem SaleemDepartment of Mathematics, National University of Computer and Emerging Sciences, Lahore, PakistanBasit AliDepartment of Mathematics, School of Science and Technology, University of Management and Technology, C-II, Johar town, Lahore, PakistanMujahid AbbasDepartment of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria, 0002, South AfricaZahid RazaDepartment of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan
2015en
ABI
Abstract
Abstract 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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