Darboux type properties of the paratingent
Małgorzata Fedor; Joanna Szyszkowska
Annales UMCS, Mathematica (2008)
- Volume: 62, Issue: 1, page 67-74
- ISSN: 2083-7402
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topMałgorzata Fedor, and Joanna Szyszkowska. "Darboux type properties of the paratingent." Annales UMCS, Mathematica 62.1 (2008): 67-74. <http://eudml.org/doc/267748>.
@article{MałgorzataFedor2008,
abstract = {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.},
author = {Małgorzata Fedor, Joanna Szyszkowska},
journal = {Annales UMCS, Mathematica},
keywords = {Paratingent; Darboux property; multivalued functions; paratingent},
language = {eng},
number = {1},
pages = {67-74},
title = {Darboux type properties of the paratingent},
url = {http://eudml.org/doc/267748},
volume = {62},
year = {2008},
}
TY - JOUR
AU - Małgorzata Fedor
AU - Joanna Szyszkowska
TI - Darboux type properties of the paratingent
JO - Annales UMCS, Mathematica
PY - 2008
VL - 62
IS - 1
SP - 67
EP - 74
AB - 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.
LA - eng
KW - Paratingent; Darboux property; multivalued functions; paratingent
UR - http://eudml.org/doc/267748
ER -
References
top- Czarnowska, J., Kwiecińska, G., On the Darboux property of mulivalued functions, Demonstratio Math. 25 (1992), 193-199. Zbl0765.54010
- 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. Zbl0887.47001
- Rudin, W., Principles of Mathematical Analysis, Third edition, McGraw-Hill Book Co., New York-Auckland-Düsseldorf, 1976. Zbl0346.26002
- Zygmunt, W., On the full solution of the paratingent equations, Ann. Univ. Mariae Curie-Skłodowska Sect. A 26 (1972), 103-108 (1974).
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