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

Authors :
Saleem, Naeem
Ali, Basit
Abbas, Mujahid
Raza, Zahid
Source :
Fixed Point Theory & Applications; 9/10/2015, Vol. 2015 Issue 1, p1-18, 18p
Publication Year :
2015

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871820
Volume :
2015
Issue :
1
Database :
Complementary Index
Journal :
Fixed Point Theory & Applications
Publication Type :
Academic Journal
Accession number :
109465136
Full Text :
https://doi.org/10.1186/s13663-015-0284-7