Contraction mapping

Known as: Contraction (geometry), Contraction map, Subcontraction map 
In mathematics, a contraction mapping, or contraction or contractor, on a metric space (M,d) is a function f from M to itself, with the property that… (More)
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Related topics

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11 relations
Brouwer fixed-point theoremCollage theoremDe Rham curveDurand–Kerner method
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
MINIMIZATION OF FUNCTIONS HAVING LIPSCHITZ CONTINUOUS FIRST PARTIAL DERIVATIVES
 
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Highly Cited
2011
Highly Cited
2011
On generalized weakly G-contraction mapping in G-metric spaces
In this paper, we establish some common fixed point results for two self-mappings f and g on a generalized metric space X . To… (More)
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2011
2011
GENERALIZED CONTRACTION MAPPING IN PROBABILISTIC METRIC SPACE
The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In… (More)
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2009
2009
THE CONTRACTION MAPPING PRINCIPLE AND SOME APPLICATIONS
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the… (More)
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Highly Cited
2009
Highly Cited
2009
Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions
Meir and Keeler in 1 considered an extension of the classical Banach contraction theorem on a complete metric space. Kirk et al… (More)
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Highly Cited
2008
Highly Cited
2008
A General Iterative Method for Nonexpansive Mappings
Let H be a real Hilbert space and T: H → H be a nonexpansive mapping, f : H → H a contraction mapping with coefficient 0 < α < 1… (More)
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Highly Cited
2008
Highly Cited
2008
A Generalisation of Contraction Principle in Metric Spaces
Recommended by G ´ orniewicz Lech Here we introduce a generalisation of the Banach contraction mapping principle. We show that… (More)
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Highly Cited
2008
Highly Cited
2008
Observers for Lipschitz nonlinear descriptor systems: Application to unknown inputs systems
This paper deals with the design of reduced order observers for a class of nonlinear descriptor systems. The order of these… (More)
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Highly Cited
2007
Highly Cited
2007
Iterative Approximation of Fixed Points of Almost Contractions
In this paper we present a very general class of weakly Picard mappings. The fixed point theorems thus obtained are… (More)
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Highly Cited
1972
Highly Cited
1972
Fixed points of contraction mappings on probabilistic metric spaces
In this paper the notion of a contraction mapping on a probabilistic metric space is introduced, and several fixed-point theorems… (More)
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