On the differentiability of mappings and convex functionals

Josef Kolomý

Commentationes Mathematicae Universitatis Carolinae (1967)

  • Volume: 008, Issue: 4, page 735-752
  • ISSN: 0010-2628

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Kolomý, Josef. "On the differentiability of mappings and convex functionals." Commentationes Mathematicae Universitatis Carolinae 008.4 (1967): 735-752. <http://eudml.org/doc/16246>.

@article{Kolomý1967,
author = {Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {4},
pages = {735-752},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the differentiability of mappings and convex functionals},
url = {http://eudml.org/doc/16246},
volume = {008},
year = {1967},
}

TY - JOUR
AU - Kolomý, Josef
TI - On the differentiability of mappings and convex functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1967
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 008
IS - 4
SP - 735
EP - 752
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16246
ER -

References

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  1. J. KOLOMÝ, On the differentiability of mappings in functional spaces, Comment. Math. Univ. Carolinae 8 (1967), No 2, 315-330. (1967) MR0212569
  2. J. KOLOMÝ V. ZIZLER, Remarks on the differentiability of mappings in linear normed spaces, Comment. Math. Univ. Carolinae 8 (1967), No 4, 619-704. (1967) MR0234279
  3. V. ZIZLER, On the differentiability of mappings in Banach spaces, Comment. Math. Univ. Carolinae 8 (1967), No 3, 415-430. (1967) Zbl0179.19101MR0227772
  4. J. DURDIL, On the differentiability of Urysohn and Nemyckij operator, Comment. Math. Univ. Carolinae 8 (1967), No 3, 515-553. (1967) MR0227822
  5. M. Z. NASHED, Some remarks on variations and differentials, An. Math. Monthly Vol. 73 (1966), No 4, 63-76. (1966) Zbl0141.11804MR0198188
  6. M. Z. NASHED, Supportably and weakly convex functions with application to approximation theory and nonlinear programming, Journ. Math. Anal. and Appl. 18 (1967), No 3, 504-521. (1967) MR0209839
  7. M. M. VAJNBERG, O minimume vypuklych funkcionalov, Uspechi mat. nauk 20 (1965), No 1, 239-240. (1965) 
  8. R. I. KAČUROVSKIJ, O monotonnych operatorach i vypuklych funkcionalach, Uspechi mat. nauk 15 (1960), No 4, 213-215. (1960) MR0112608
  9. E. S. LEVITAN B. T. POLJAK, O schodimosti minimizurujuščich posledovatelnostěj v zadačach na uslovnyj ekstremum, Dokl. akad. nauk SSSR t. 168 (1966), No 5, 997-1000. (1966) MR0199016
  10. E. F. BROWDER, Variational boundary value problems for quasi-linear elliptic equations of arbitrary order, Proc. Nat. Acad. Sci U. S. A. Vol. 50 (1963), No 1, 31-37. (1963) Zbl0117.07102MR0166474
  11. M. M. VAJNBERG, Variacionnyje metody issledovanija nelinejnych operatorov, Moskva 1956. (1956) 
  12. F. A. VALENTINE, Convex sets, New York 1964. (1964) Zbl0129.37203MR0170264
  13. S. MAZUR, Über konvexe Mengen in linearen normierten Räumen, Studia Math. t. IV (1933), 70-84. (1933) Zbl0008.31603
  14. T. RADO P. V. REICHELDERFER, Continuous transformations in analysis, Springer 1955. (1955) MR0079620
  15. H. RADEMACHER, Ueber partielle und totale Differenzierbarkeit, Math. Ann. 79 (1919) 340-359, 81 (1920), 52-63. (1919) 
  16. N. A. IVANOV, O differencialech Gate i Freše, Uspechi mat. nauk t. X (1955), 161-166. (1955) 
  17. C. L. DOLPH G. J. MINTY, On nonlinear integral equations of the Hammerstein type. Nonlinear integral equations, Proceedings of an Advanced Seminar, 1963. The Univ. of Wisconsin Press, 1964, 99-154. (1963) MR0161113
  18. N. BURBAKI, Topologičeskije vektornyje prostranstva, Moskva 1959. (1959) 
  19. R. NEVANLINNA, Bemerkung zur Funkcionalanalysis, Math. Scand. 1 (1953), No 1, 104-112. (1953) MR0056833
  20. V. JARNÍK, Diferenciální počet II, Praha 1953. (1953) 
  21. B. T. POLJAK, Teoremy susčestvovanija i schodimosť minimizurujuščich posledovatelnostěj dlja zadač na ekstremum pri naličii ohraničenij, Dokl. akad. n. SSSR, 166 (1966) No 2, 287-290. (1966) 

Citations in EuDML Documents

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  1. Josef Kolomý, Remarks on nonlinear functionals
  2. Josef Kolomý, Remarks on nonlinear operators and functionals
  3. Josef Kolomý, Some remarks on nonlinear functionals
  4. Josef Daneš, Josef Kolomý, On the continuity and differentiability properties of convex functionals
  5. Josef Kolomý, On the differentiability of operators and convex functionals
  6. Václav Zizler, Banach spaces with the differentiable norms
  7. Josef Kolomý, On the continuity properties of nonlinear operators and functionals
  8. Slavomír Burýšek, Some remarks on polynomial operators
  9. Josef Kolomý, Differentiability of convex functionals and boundedness of nonlinear operators and functionals

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