Results 271 to 280 of about 1,628 (305)

Periodic Points and Contractive Mappings

Canadian Mathematical Bulletin, 1974
Let X be a non-empty set and f:X→X. A point x ∈ X is (i) a fixed point off f(x)=x, and (ii) a periodic point of f iff there is a positive integer N such that fN(x)=x. Also a periodic orbit of f is the (finite) set {x, f(x), f2(x),…} where x is a periodic point of f.
Hsieh, Tsu-Teh, Tan, Kok-Keong
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A Note on a Sequence of Contraction Mappings

Canadian Mathematical Bulletin, 1969
Let E be a metric space. A mapping T of the space E into itself is said to be a contraction if there exist s a number k, with 0 ≤ k < 1 such thatfor any two points x, y ∈ E. Every contraction mapping is continuous.
Singh, S. P., Russell, W.
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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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Iteration of Contractions and Analytic Maps

Journal of the London Mathematical Society, 1990
The Denjoy-Wolff theorem states that if f is an analytic map of the unit disc into itself, then the iterates \(f^ n\) converge to some point in the closure of the unit disc. Excluding Möbius maps, each f is a contraction with respect to the hyperbolic metric. The result is generalized to contractions of Hadamard and visibility n-dimensional manifolds.
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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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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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Extended Φ-contraction mappings

The Journal of Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space

Journal of Analysis, 2021
Vaibhav Sharma, Sanjay Kumar
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Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings

Numerical Functional Analysis and Optimization, 2021
Garai Hiranmoy, Erdal Karapinar, Lakshmi Kanta Dey   +2 more
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Contract Maps

SSRN Electronic Journal, 2022
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