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Contraction kernels and combinatorial maps

Pattern Recognition Letters, 2003
Summary: Graph pyramids are made of a stack of successively reduced graphs embedded in the plane. Such pyramids overcome the main limitations of their regular ancestors. The graphs used in the pyramid may be region adjacency graphs, dual graphs or combinatorial maps. Compared to usual graph data structures, combinatorial maps offer an explicit encoding
Luc Brun, Walter G. Kropatsch
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Contraction Maps and Equivalent Linearization*

Bell System Technical Journal, 1967
This study is primarily concerned with the question: If the method of equivalent linearization indicates the existence of a periodic solution, is there actually a periodic solution near the approximation of equivalent linearization? To answer this question, we use a modification of the contraction mapping fixed point theorem. We discuss applications to
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A CONVERSE TO THE PRINCIPLE OF CONTRACTING MAPS

Russian Mathematical Surveys, 1976
In the paper we give an account of several versions of a converse to the principle of contracting maps. More exactly, we answer the question: under what conditions on an operator mapping a complete metric space into itself is there an equivalent metric in which the operator is contracting?
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On the Edelstein Contractive Mapping Theorem

Canadian Mathematical Bulletin, 1975
AbstractLet X be a metrizable topological space and f:X→X a continuous selfmapping such that for every x ∈ X the sequence of iterates {fn(x)} converges. It is proved that under these conditions the following two statements are equivalent:1. There is a metrization of X relative to which f is contractive in the sense of Edelstein.2.
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Some Extended Results for Multivalued F-Contraction Mappings

Axioms, 2023
Håkan Şahin, Mustafa Aslantaş
exaly  

On Predominantly Contractive Mappings

Journal of the London Mathematical Society, 1963
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Contract Maps

SSRN Electronic Journal, 2022
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Contractive Mappings

2014
Simeon Reich, Alexander J. Zaslavski
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Contractions and Completely Continuous Mappings

Nonlinear Analysis: Theory, Methods & Applications, 1977
A Mukherjea
exaly  

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