A note on the continuity properties of nonlinear operators

Josef Kolomý

Commentationes Mathematicae Universitatis Carolinae (1967)

  • Volume: 008, Issue: 3, page 503-514
  • ISSN: 0010-2628

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Kolomý, Josef. "A note on the continuity properties of nonlinear operators." Commentationes Mathematicae Universitatis Carolinae 008.3 (1967): 503-514. <http://eudml.org/doc/16232>.

@article{Kolomý1967,
author = {Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {3},
pages = {503-514},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the continuity properties of nonlinear operators},
url = {http://eudml.org/doc/16232},
volume = {008},
year = {1967},
}

TY - JOUR
AU - Kolomý, Josef
TI - A note on the continuity properties of nonlinear operators
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1967
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 008
IS - 3
SP - 503
EP - 514
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16232
ER -

References

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  1. М. М. ВАЙНБЕРГ, Вариационные методы исследования нелинейных операторов, Москва 1956. (1956) Zbl0995.90522
  2. Э. С. ЦИТЛАНАДЗЕ, О дифференцировании функционалов, Мат. сборник 29 (71): 1 (1951), 3-12. (1951) Zbl1165.94313MR0043375
  3. E. H. ROTHE, Gradient mappings in Hilbert space, Ann. of Math. 47 (1946), No 3, 580-592. (1946) Zbl0060.28203MR0017469
  4. М. М. ВАЙНБЕРГ, Некоторые вопросы дифференциального исчисления в линейных пространствах, Усп. мат. наук 7 (1952), вып. 4, 55-102. (1952) Zbl1145.11324MR0050800
  5. М. И. КАДЕЦ, О некоторых свойствах потенциальных операторов в рефлективных сепарабельных пространствах, Усп. мат. наук 15 (1960), Nо. 2, 104-107. (1960) Zbl1004.90500MR0131188
  6. T. KATO, Demicontinuity, hemicontinuity and monotonicity, Bull. Am. Math. Soc. 70 (1964), No 4, 548-550. (1964) Zbl0123.10701MR0163198
  7. F. E. BROWDER, Continuity properties of monotone nonlinear operators in Banach spaces, Bull. Am. Math. Soc. 70 (1964), No 4, 551-553. (1964) Zbl0123.10702MR0163199
  8. W. V. PETRYSHYN, On the extension and the solution of nonlinear operator equations, Illinois Journ. Math. Vol. 10 (1966), 2, 255-274. (1966) Zbl0139.31503MR0208432
  9. F. E. BROWDER, Further remarks on nonlinear functional equations, Illinois Journ. Math. Vol. 10 (1966), 2, 275-286. (1966) Zbl0148.13501MR0208433
  10. F. E. BROWDER, Multivalued monotone nonlinear mappings and duality mappings in Banach spaces, Trans. Am. Math. Soc. Vol. 118 (1965), 6, 338-351. (1965) MR0180884
  11. P. И. КАГУРОВСКИЙ, О монотонных операторах и выпуклых пространствах, Усп. мат. наук 15 (1960), No 4, 213-215. (1960) Zbl1004.90500MR0132641
  12. G. J. MINTY, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. Vol. 29 (1962), 341-346. (1962) Zbl0111.31202MR0169064

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