A fixed point theorem for a class of multi-valued continuously differentiable maps
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Gilles Fournier, Donald Violette (1987)
Annales Polonici Mathematici
A.J. Tromba (1982)
Journal für die reine und angewandte Mathematik
Yong-Geun Oh (1990)
Mathematische Zeitschrift
Kosi-Ulbl, Irena (2002)
Mathematica Pannonica
Pavol Brunovský, Pavol Meravý (1987)
Pokroky matematiky, fyziky a astronomie
Berkovits, J., Fabry, C. (2005)
Abstract and Applied Analysis
Ciriza, Eleonora (1999)
Rendiconti del Seminario Matematico
Balanov, Z., Krawcewicz, W., Kushkuley, A. (1998)
Abstract and Applied Analysis
M. Cosnard, A. Eberhard (1984)
Annales de l'I.H.P. Physique théorique
Peter Petek (1990)
Aplikace matematiky
Newton's method for computation of a square root yields a difference equation which can be solved using the hyperbolic cotangent function. For the computation of the third root Newton's sequence presents a harder problem, which already Cayley was trying to solve. In the present paper two mutually inverse functions are defined in order to solve the difference equation, instead of the hyperbolic cotangent and its inverse. Several coefficients in the expansion around the fixed points are obtained,...
Michal Fečkan, Richard Kollár (1999)
Applications of Mathematics
The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.
Katsuhiro Komiya (1988)
Inventiones mathematicae
Torres-Martínez, Juan Pablo (2006)
Fixed Point Theory and Applications [electronic only]
R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples
Bich, Philippe, Cornet, Bernard (2004)
Fixed Point Theory and Applications [electronic only]
Siegfried Hahn (1980)
Commentationes Mathematicae Universitatis Carolinae
Bernd Aulbach (1984)
Journal für die reine und angewandte Mathematik
Bagdasarov Sergey K. (1998)
Michael Kelly (1999)
Banach Center Publications
Michal Fečkan (1993)
Commentationes Mathematicae Universitatis Carolinae
The existence of multiple solutions for perturbed equations is shown near a manifold of solutions of an unperturbed equation via the Nielsen fixed point theory.
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