Generalizations of Bolzano intermediate value theorem for balls and convex domains

DOI10.24193/fpt-ro.2023.1.23OpenAlexW4365396371MaRDI QIDQ6153353

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Publication date: 19 March 2024

Published in: Fixed Point Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24193/fpt-ro.2023.1.23

zbMATH Keywords

convex domainscontinuous mappingsthe Poincaré-Miranda theoremthe Borsuk-Ulam theoremBolzano intermediate value theorem

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• Generalization of the Bolzano theorem for simplices
• The Bolzano-Poincaré-Miranda theorem -- discrete version
• A Bolzano's theorem in the new millennium
• Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros
• The Bolzano-Poincaré-Miranda theorem in infinite-dimensional Banach spaces
• The Poincare-Miranda Theorem
• Variations on Poincaré-Miranda’s Theorem

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