On the existence theorems of Kantorovich, Miranda and Borsuk
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Publication:1772037
zbMath1080.47042MaRDI QIDQ1772037
Gerhard Heindl, Jan Mayer, G. E. Alefeld, Andreas Frommer
Publication date: 15 April 2005
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/125554
fixed pointsexistence theoremsnonlinear equationsBorsuk theoremMiranda theoremNewton--Kantorovich theorem
Numerical computation of solutions to systems of equations (65H10) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10)
Related Items (8)
Solving equations and optimization problems with uncertainty ⋮ Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions ⋮ Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros ⋮ A fixed point theorem based on Miranda ⋮ Quasi-decidability of a fragment of the first-order theory of real numbers ⋮ The Bolzano-Poincaré-Miranda theorem in infinite-dimensional Banach spaces ⋮ Survey on generalizations of the intermediate value theorem and applications ⋮ Generalization of the Bolzano theorem for simplices
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