Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)

Josef Kolomý

Commentationes Mathematicae Universitatis Carolinae (1971)

  • Volume: 012, Issue: 2, page 413-418
  • ISSN: 0010-2628

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Kolomý, Josef. "Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)." Commentationes Mathematicae Universitatis Carolinae 012.2 (1971): 413-418. <http://eudml.org/doc/16438>.

@article{Kolomý1971,
author = {Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {2},
pages = {413-418},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)},
url = {http://eudml.org/doc/16438},
volume = {012},
year = {1971},
}

TY - JOUR
AU - Kolomý, Josef
TI - Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1971
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 012
IS - 2
SP - 413
EP - 418
LA - eng
UR - http://eudml.org/doc/16438
ER -

References

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  1. F. BROWDER, On the Fredholm alternative for nonlinear operators, Bull. Am. Math. Soc. 76 (1970), 993-998. (1970) Zbl0201.17902MR0265999
  2. H. BREZIS, Equations et inéquations non-linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier (Grenoble) 18 (1968), 115-176. (1968) Zbl0169.18602MR0270222
  3. W. V. PETRYSHYN, On existence theorems for nonlinear equations involving noncompact mappings, Proc. Nat. Acad. Sci. U. S. A. Vol. 76 (1970), 326-330. (1970) Zbl0202.42803MR0268734
  4. M. KATĚTOV, O normovaných vektorových prostorech, Rozpravy II. tř. České akad. 53, a. 45 (1944), 1-27. (1944) MR0024068
  5. L. M. GRAVES, Some mapping theorems, Duke Math. J. 17 (1950), 111-114. (1950) Zbl0037.20401MR0035398
  6. R. G. BARTLE, On the openness and inversion of differentiate mappings, Ann. Acad. Sci. Fennicae I (Math.) 257 (1958), 8 pp. (1958) MR0104172
  7. J. KOLOMÝ, Openness of nonlinear operators, (to appear). 
  8. L. P. BELLUCE W. A. KIRK, Some fixed point theorems in metric and Banach spaces, Canad. Math. Bull. 12 (1969), 481-491. (1969) MR0250148
  9. W. A. KIRK, On nonlinear mappings of strongly semicontractive type, J .of Math. Anal. and Appl. 27 (1969), 409-412. (1969) Zbl0183.15103MR0244814
  10. J. DANEŠ, Fixed point theorems, Nemyckii and Uryson operators and continuity of nonlinear mappings, Comment. Math. Univ. Carolinae 11 (1970), 481-500. (1970) MR0283647

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