On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings

Marián J. Fabián

Commentationes Mathematicae Universitatis Carolinae (1977)

  • Volume: 018, Issue: 1, page 19-39
  • ISSN: 0010-2628

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Fabián, Marián J.. "On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings." Commentationes Mathematicae Universitatis Carolinae 018.1 (1977): 19-39. <http://eudml.org/doc/16800>.

@article{Fabián1977,
author = {Fabián, Marián J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {19-39},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings},
url = {http://eudml.org/doc/16800},
volume = {018},
year = {1977},
}

TY - JOUR
AU - Fabián, Marián J.
TI - On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1977
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 018
IS - 1
SP - 19
EP - 39
LA - eng
UR - http://eudml.org/doc/16800
ER -

References

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  1. A. ALEXIEWICZ, Analiza funkcjonalna, Warszawa, 1969. (1969) 
  2. D. AMIR J. LINDENSTRAUSS, The structure of weaker compact sets in Banach spaces, Annals of Mathematics 88 (1968), 35-46. (1968) MR0228983
  3. E. ASPLUND, Fréchet differentiability of convex functions, Acta Math. 121 (1968), 31-47. (1968) Zbl0162.17501MR0231199
  4. F. E. BROWDER, Problémes non lineaires, Les presses de l'Université de Montréal, 1966. (1966) Zbl0153.17302
  5. E. ČECH, Point sets, Academia, Prague , 1969. (1969) MR0256344
  6. M. FABIAN, On strong continuity of monotone mappings in reflexive Banach spaces, to appear in Acta Polytechnica 1977. (1977) MR0467406
  7. K. JOHN V. ZIZLER, A renorming of dual spaces, Israel J. Math. 12 (1972), 331-336. (1972) MR0344853
  8. K. JOHN V. ZIZLER, A note on renorming of dual spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 21 (1973), 47-50. (1973) MR0320711
  9. T. KATO, Demi-continuity, hemi-continuity, and monotonicity, Bull. Amer. Math. Soc. 70 (1964), 548-550. (1964) MR0163198
  10. P. S. KENDEROV, The set-valued monotone mappings are almost everywhere singlevalued, Comptes rendus de l'Académie Bulgare des Sciences 27 (1974), 1173-1175. (1974) MR0358447
  11. P. S. KENDEROV, A note on multivalued monotone mappings, Comptes rendus de l'Académic Bulgare des Sciences 28 (1975), 583-584. (1975) Zbl0322.47032MR0375007
  12. P. S. KENDEROV, Semicontinuity of set-valued monotone mappings, Fundamenta Mathematica 88 (1975), 61-69. (1975) MR0380723
  13. N. KENMOCHI, Accretive mappings in Banach spaces, Hiroshima Math. Journal 2 (1972), 163-177. (1972) MR0326503
  14. J. J. MOREAU, Fonctionnelles sous-differantiables, Comptes rendus Acad. Sci. Paris 257 (1963),4117-4119. (1963) MR0158250
  15. I. NAMIOKA R. R. PHELPS, Banach spaces which are Asplund spaces, Duke Math. J. 42 (1975), 735-750. (1975) MR0390721
  16. R. ROBERT, Points de continuité de multi-applications semi-continues supérieurement, Comptes rendus Acad. Sci. Paris 278 (1974), 413-415. (1974) Zbl0274.54009MR0348497
  17. R. ROBERT, Une généralisation aux opérateurs monotones des théorèmes de differentiabilité d'Asplund, Analyse convexe et see applications, Lecture Notes in Economics and Mathematical System 102, 168-179. Zbl0301.47040MR0482398
  18. R. T. ROCKAFELLAR, Local boundedness of nonlinear monotone operators, Michigan Math. J. 16 (1969), 397-407. (1969) Zbl0175.45002MR0253014
  19. R. T. ROCKAFELLAR, On the maximal monotonicity of subdifferential mappings, Pacific J. Math. 33 (1970), 209-216. (1970) Zbl0199.47101MR0262827
  20. S. L. TROYANSKI, On locally uniformly convex and differentiate norms in certain non-separable Banach spaces, Studia Mathematica 37 (1971), 173-180. (1971) MR0306873
  21. E. H. ZARANTONELLO, Dense Single-valuedness of Monotone Operators, Israel J. Math. 15 (1973), 158-166. (1973) Zbl0274.47028MR0324490

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