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

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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Fixed Point Theory and Applications
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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Keywords
Suzuki type mapping, fuzzy metric space, fixed point, multivalued mapping, t-norm
Citation
Saleem, N., Ali, B., Abbas., M., and Raza, Z. (2015). Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications. Fixed Point Theory and Applications , 36 DOI 10.1186/s13663-015-0284-7