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Fixed Point Theory and Applications
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Fixed Point Theory and Applications
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Fixed Point Theory and Applications
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Fixed Point Theory and Applications
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Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

descriptionPublicationkeyboard_double_arrow_right Article 14 Aug 2013 English Publisher:Springer Science and Business Media LLCJournal:Fixed Point Theory and Applications, volume 2,013 (eissn: 1687-1812, Copyright policy )
Authors: Gabriela Petruşel; Cristina Urs; Adrian Petruşel;

doi: 10.1186/1687-1812-2013-218

Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

Abstract

Abstract In this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair of singlevalued operators (satisfying a generalized mixed monotone property) in ordered metric spaces. The approach is based on Perov-type fixed point theorems in spaces endowed with vector-valued metrics. The Ulam-Hyers stability and the limit shadowing property of the fixed point problems are also discussed. MSC:47H10, 54H25.

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Keywords

Applied Mathematics, Geometry and Topology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Top 10%
gold
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