Results 211 to 220 of about 1,833 (248)

Continuous and Lipschitz Functions

2011
Chapter 1 is intended to give the reader a fairly clear introduction to Part 3 of the book (Chapters 5{8) devoted to extensions of Lipschitz maps between metric spaces. This will be done on the basis of methods and results regarded as \classical" in this rather young field of modern analysis.
Alexander Brudnyi, Yuri Brudnyi
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Lipschitz continuous processes for given marginals

Statistics & Probability Letters, 2003
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Lipschitz Continuity of Approximate Reasoning

2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2008
Lipschitz continuity of some approximate reasoning methods on the premise variables are described to guarantee the existence of the unique solution of the state equation of a fuzzy control. To obtain this result, some conditions must be given to the set of membership functions. Then we introduce some sets of membership functions used in Mamdani method,
Takashi Mitsuishi, Takanori Terashima, Toshimichi Homma, Yasunari Shidama   +3 more
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Operators with Lipschitz Continuous First Derivative

2020
Examining the algorithm of Newton’s method, $$\displaystyle x_{n+1}=x_n-[F'(x_n)]^{-1}F(x_n),\quad n\geq 0, \quad \mbox{with } x_0\mbox{ given}, $$ we see that it involves only the operator F and its first Frechet derivative F′, suggests that trying to impose conditions only on the operators F and F′ to guarantee the convergence of Newton’s ...
José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón   +1 more
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Random reals and Lipschitz continuity

Mathematical Structures in Computer Science, 2006
Lipschitz continuity is used as a tool for analysing the relationship between incomputability and randomness. We present a simpler proof of one of the major results in this area – the theorem of Yu and Ding, which states that there exists no cl-complete c.e. real – and go on to consider the global theory.
ANDREW E. M. LEWIS, GEORGE BARMPALIAS
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Extensions of Continuous and Lipschitz Functions

Canadian Mathematical Bulletin, 2000
AbstractWe show a result slightly more general than the following. Let K be a compact Hausdorff space, F a closed subset of K, and d a lower semi-continuous metric on K. Then each continuous function ƒ on F which is Lipschitz in d admits a continuous extension on K which is Lipschitz in d. The extension has the same supremum norm and the same Lipschitz
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Lipschitz continuations of linearly bounded functions

Sbornik: Mathematics, 1998
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Commutator Lipschitz Functions and Analytic Continuation

Journal of Mathematical Sciences, 2016
Let \({\mathfrak F}_0\) and \({\mathfrak F}\) be perfect subsets of the complex plane such that \({\mathfrak F}_0\subset{\mathfrak F}\) and the set \(\Omega={\mathfrak F}_0\setminus{\mathfrak F}\) is open. A continuous function \(f\) on \({\mathfrak F}\) is said to be an analytic continuation of a function \(f_0\) on \({\mathfrak F}_0\) if \(f\) is ...
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Team optimization problems with Lipschitz continuous strategies

Optimization Letters, 2010
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GNECCO, GIORGIO STEFANO, SANGUINETI, MARCELLO   +1 more
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Lipschitz continuity of Lipschitz-Killing curvature densities at infinity

Selecta Mathematica
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Dinh, Si Tiep, Nguyen, Nhan
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