Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications
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Date
Authors
Saleem, Naeem
Ali, Basit
Abbas, Mujahid
Raza, Zahid
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen Journal
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.
Description
Keywords
Suzuki type mapping, Fuzzy metric space, Fixed point, Multivalued mapping, t-Norm
Sustainable Development Goals
Citation
Saleem, N, Ali, B, Abbas, M & Raza, Z 2015, 'Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications', Fixed Point Theory and Applications, vol. 2015, no. 36, pp. 1-18.