Results 261 to 270 of about 1,628 (305)

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.
Ludvik Janos
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Fixed point theorem of generalized quasi-contractive mapping in cone metric space

Computers and Mathematics With Applications, 2011
In this paper, we introduce the generalized quasi-contractive mapping f in a cone metric space (X,d). f is called a generalized quasi-contractive if there is a real λ∈[0,1) such that for all x,y∈X, d(fx,fy)≤λs for some s∈co{0,d(fx,fy),d(x,y),d(x,fx),d(y ...
Zhang, Xian, Xian Zhang
exaly   +2 more sources

Fixed Point Theory Using ψ Contractive Mapping in C ∗ -Algebra Valued B-Metric Space

Mathematics, 2021
In this paper, fixed point theorems using ψ contractive mapping in C∗-algebra valued b-metric space are introduced. By stating multiple scenarios that illustrate the application domains, we demonstrate several applications from the obtained ...
Saleh Omran, Quang Ngoc Nguyen, Omran Saleh   +2 more
exaly   +2 more sources

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On the contraction mapping

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bünyamin Yildiz, Hakan Simsek
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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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Contraction Mapping Calibration

2005
In this paper a new calibration scheme for recovering Euclidian camera parameters from their affine of projective primitives is presented. It is based on a contraction mapping implying that the obtained solution is unique, i.e. no local minimas threaten to yield a non-optimal solution.
Nicolas Guilbert, Anders Heyden
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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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Contractive Mappings on Unbounded Sets

Set-Valued and Variational Analysis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reich, Simeon, Zaslavski, Alexander J.
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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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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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