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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Papers overview

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Highly Cited
2011
Highly Cited
2011
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
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
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
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
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
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
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
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
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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