An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions

Charles J. Himmelberg; F. S. Van Vleck

Mathematica Slovaca (1976)

  • Volume: 26, Issue: 1, page 47-52
  • ISSN: 0232-0525

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Himmelberg, Charles J., and Van Vleck, F. S.. "An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions." Mathematica Slovaca 26.1 (1976): 47-52. <http://eudml.org/doc/31556>.

@article{Himmelberg1976,
author = {Himmelberg, Charles J., Van Vleck, F. S.},
journal = {Mathematica Slovaca},
language = {eng},
number = {1},
pages = {47-52},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions},
url = {http://eudml.org/doc/31556},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Himmelberg, Charles J.
AU - Van Vleck, F. S.
TI - An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions
JO - Mathematica Slovaca
PY - 1976
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 26
IS - 1
SP - 47
EP - 52
LA - eng
UR - http://eudml.org/doc/31556
ER -

References

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  1. BRUNOVSKÝ P., Scorza Dragoni's theorem for unbounded set-valued functions and its applications to control problems, Mat. Čas., 20, 1970, 205-213. (1970) Zbl0215.21601MR0303380
  2. CASTAING C., Sur les multi-applications mesurables, Rev. Française Inforn at. Recherche Operationelle, 1, 1967, 91-126. (1967) Zbl0153.08501MR0223527
  3. CASTA1NG, C, Sur le graphe d'une multi-application Sonslinienne (Mosurablo), Faculté des Sciences de Montpellier, Mathematiques (1969). (1969) 
  4. GOODMAN G., On a theorem of Scorza Dragoni and its application to optimal control, In: Mathematical Theory of Control, ed. by A. Balakrislman and L. N u stadt, Academic Press, 1967, pp. 222-233, New York. (1967) Zbl0228.49010MR0256238
  5. HIMMELBERG, C, Precompact contraction of metric uniformities and the continuity of F(t, x), Rend. Semin. mat. Univ. Padova, 48, 1973, 159-169. (1973) MR0355958
  6. JACOBS M., Remark on some recent extensions of Filippov's implicit function lemma, SIAM J. Control. 5, 1967, 622-627. (1967) MR0223951
  7. JACOBS M., Measurable multivalued mappings and Lusin's theorem, Trans. Amer. Math. Soc., 134, 1968, 471-481. (1968) Zbl0169.06801MR0236868
  8. KIKUCHI N., On contingent equations satisfying the Carathéodory type conditions, RIMS. Kyoto Univ. Ser. A, 3. 1968, 361-371. (1968) Zbl0197.13106MR0230973
  9. SCORZA DRAGONI G., Una Theorema sulle funzioni continue rispetto ad una i misurable rispetto ad ultra variabile, Rend. Somin. mat. Univ. Padova. 17. 1948, 102-106. (1948) MR0028385
  10. WATSON P., On the limit of sequences of sets, Quart. J. Math., 4, 1953, 1-3. (1953) MR0054241

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