Darboux type properties of the paratingent

• Autorzy: Małgorzata Fedor , Joanna Szyszkowska
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider the Darboux type properties for the paratingent. We review some of the standard facts on the multivalued functions and the paratingent. We prove that the paratingent has always the Darboux property but the property D* holds only when the paratingent is a multivalued function.

Słowa kluczowe

EN

Paratingent; Darboux property; multivalued functions

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2008
• Tom: 62
• Numer: 1
• Strony: 67-74

Daty

wydano

2008-01-01

online

2009-02-09

Twórcy

autor

Małgorzata Fedor

• Department of Real Analysis Faculty of Mathematics and Natural Sciences, The John Paul II Catholic University of Lublin, ul. Konstantynów 1H 20-950 Lublin, Poland

autor

Joanna Szyszkowska

• Department of Real Analysis Faculty of Mathematics and Natural Sciences, The John Paul II Catholic University of Lublin, ul. Konstantynów 1H 20-950 Lublin, Poland

Bibliografia

• Czarnowska, J., Kwiecińska, G., On the Darboux property of mulivalued functions, Demonstratio Math. 25 (1992), 193-199.
• Delahaye, J. P., Denel, J., The continuites of the point-to-set maps, definitions and equivalences, Math. Programming Stud. 10 (1979), 8-12.
• Hu, S., Papageorgiou, N. S., Handbook of Multivalued Analysis. Vol. I. Theory, Kluwer Academic Publisher, Dordrecht, 1997.
• Rudin, W., Principles of Mathematical Analysis, Third edition, McGraw-Hill Book Co., New York-Auckland-Düsseldorf, 1976.
• Zygmunt, W., On the full solution of the paratingent equations, Ann. Univ. Mariae Curie-Skłodowska Sect. A 26 (1972), 103-108 (1974).

Identyfikatory

DOI

10.2478/v10062-008-0008-0