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

Naeem Saleem; Basit Ali; Mujahid Abbas; Zahid Raza

doi:10.1186/s13663-015-0284-7

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

Naeem Saleem
, Basit Ali
, Mujahid Abbas
, Zahid Raza

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

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.

Original language	English
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0284-7
Publication status	Published - 2015
Externally published	Yes

Keywords

Suzuki type mapping
fixed point
fuzzy metric space
multivalued mapping
t-norm

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0284-7

Cite this

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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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AU - Ali, Basit

AU - Abbas, Mujahid

AU - Raza, Zahid

PY - 2015

Y1 - 2015

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AB - 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.

KW - Suzuki type mapping

KW - fixed point

KW - fuzzy metric space

KW - multivalued mapping

KW - t-norm

UR - https://www.scopus.com/pages/publications/84924092597

U2 - 10.1186/s13663-015-0284-7

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JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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