Results 271 to 280 of about 1,413,634 (303)

Mappings Related to Contractions

Canadian Mathematical Bulletin, 1975
Some results generalizing a fixed point theorem due to R. Kannan are presented.0. Let be a family of self-mappings of a metric space (X, d).
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A Remark on Contractive Mappings

Canadian Mathematical Bulletin, 1970
Much current research is concerned with the fixed points of contractive mappings (mappings which shrink distance in some manner) from a metric space into itself. In this remark we shall point out that most mappings treated in the literature are very special in the sense that all these mappings satisfy a condition which is rather severe: every periodic ...
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Extended Φ-Contraction Mappings

Journal of Analysis
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Rajendra Prasad Pant
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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-properness of contractive and condensing maps

Nonlinear Analysis: Theory, Methods & Applications, 2002
The authors study \(A\)-properness of condensing perturbations of the identity and related maps in a possibly non-reflexive Banach space. An application to the strongly nonlinear differential equation \[ x''(t)+ f(t, x(x), x'(t),x''(t))\quad\text{on } [0,1], \] subject to Dirichlet boundary conditions, is given as well.
Lan, Kunquan, Webb, Jeffrey R. L.
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Contraction mappings

Proceedings of the Steklov Institute of Mathematics, 2010
The author considers some \(M\)-Fejér type mappings in \(n\)-dimensional Euclidean spaces and applications to solving problems in linear and convex programming.
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Contractive Mappings on Unbounded Sets

Set-Valued and Variational Analysis, 2017
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Reich, Simeon, Zaslavski, Alexander J.
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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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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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