On the existence of a solution of F ( x ) = 0 in some compact sets

Pavol Meravý

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 1, page 65-74
  • ISSN: 0232-0525

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Meravý, Pavol. "On the existence of a solution of $F(x)=0$ in some compact sets." Mathematica Slovaca 39.1 (1989): 65-74. <http://eudml.org/doc/31622>.

@article{Meravý1989,
author = {Meravý, Pavol},
journal = {Mathematica Slovaca},
keywords = {constructive existence proof; barrier homotopy methods; compact sets; Sard's theorem; Kuhn-Tucker conditions},
language = {eng},
number = {1},
pages = {65-74},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the existence of a solution of $F(x)=0$ in some compact sets},
url = {http://eudml.org/doc/31622},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Meravý, Pavol
TI - On the existence of a solution of $F(x)=0$ in some compact sets
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 1
SP - 65
EP - 74
LA - eng
KW - constructive existence proof; barrier homotopy methods; compact sets; Sard's theorem; Kuhn-Tucker conditions
UR - http://eudml.org/doc/31622
ER -

References

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  1. DEIMLING K., Nichtlineare Gleichungen und Abbildungsgrade, Springer-Verlag, Berlin-Heidelberg-New York 1974. (1974) Zbl0281.47033MR0500322
  2. HIRSCH M. W., Differential Topology, Russian translation. Mir, Moskva 1979. (1979) Zbl0446.57001MR0582456
  3. LIONS J. L., Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris 1969 Zbl0248.35001MR0259693
  4. MERAVÝ P., Smooth homotopies for mathematical programming, Pp. 302-315 in: J. Guddat, H. Th. Jongen, B. Kummer, F. Nožička: Parametric Optimization and Related Topics. Mathematical Reseaгch, Band 35, Akademie-Verlag Berlin 1987. (1987) Zbl0634.90069MR0909735
  5. ORTEGA J. M., RHEINBOLDT W. C., Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York -San Francisco -London 1970. (1970) Zbl0241.65046MR0273810

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