Fixed point of Suzuki-Zamfirescu hybrid contractions in partial metric spaces via partial Hausdorff metric

M. Abbas; Basit Ali

doi:10.1186/1687-1812-2013-21

Fixed point of Suzuki-Zamfirescu hybrid contractions in partial metric spaces via partial Hausdorff metric

M. Abbas, Basit Ali

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

15 Citations (Scopus)

Abstract

Coincidence point theorems for hybrid pairs of single-valued and multi-valued mappings on an arbitrary non-empty set with values in a partial metric space using a partial Hausdorff metric have been proved. As an application of our main result, the existence and uniqueness of common and bounded solutions of functional equations arising in dynamic programming are discussed.

Original language	English
Article number	21
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-21
Publication status	Published - Jan 2013
Externally published	Yes

Keywords

Coincidence point
Common fixed point
Orbitally complete
Partial metric space

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2013-21

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title = "Fixed point of Suzuki-Zamfirescu hybrid contractions in partial metric spaces via partial Hausdorff metric",

abstract = "Coincidence point theorems for hybrid pairs of single-valued and multi-valued mappings on an arbitrary non-empty set with values in a partial metric space using a partial Hausdorff metric have been proved. As an application of our main result, the existence and uniqueness of common and bounded solutions of functional equations arising in dynamic programming are discussed.",

keywords = "Coincidence point, Common fixed point, Orbitally complete, Partial metric space",

author = "M. Abbas and Basit Ali",

year = "2013",

month = jan,

doi = "10.1186/1687-1812-2013-21",

language = "English",

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journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

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AU - Abbas, M.

AU - Ali, Basit

PY - 2013/1

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N2 - Coincidence point theorems for hybrid pairs of single-valued and multi-valued mappings on an arbitrary non-empty set with values in a partial metric space using a partial Hausdorff metric have been proved. As an application of our main result, the existence and uniqueness of common and bounded solutions of functional equations arising in dynamic programming are discussed.

AB - Coincidence point theorems for hybrid pairs of single-valued and multi-valued mappings on an arbitrary non-empty set with values in a partial metric space using a partial Hausdorff metric have been proved. As an application of our main result, the existence and uniqueness of common and bounded solutions of functional equations arising in dynamic programming are discussed.

KW - Coincidence point

KW - Common fixed point

KW - Orbitally complete

KW - Partial metric space

UR - https://www.scopus.com/pages/publications/84897745908

U2 - 10.1186/1687-1812-2013-21

DO - 10.1186/1687-1812-2013-21

M3 - Article

AN - SCOPUS:84897745908

SN - 1687-1820

VL - 2013

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 21

ER -

Fixed point of Suzuki-Zamfirescu hybrid contractions in partial metric spaces via partial Hausdorff metric

Abstract

Keywords

ASJC Scopus subject areas

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