Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)
Kolomý, Josef
Commentationes Mathematicae Universitatis Carolinae, Tome 012 (1971), p. 413-418 / Harvested from Czech Digital Mathematics Library
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Publié le : 1971-01-01
Classification:  46A30,  47-80,  47H10,  47H15,  47J05,  47J25 
@article{105355,
     author = {Josef Kolom\'y},
     title = {Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {012},
     year = {1971},
     pages = {413-418},
     zbl = {0214.39005},
     mrnumber = {0283638},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105355}
}

Kolomý, Josef. Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication). Commentationes Mathematicae Universitatis Carolinae, Tome 012 (1971) pp. 413-418. http://gdmltest.u-ga.fr/item/105355/

F. Browder On the Fredholm alternative for nonlinear operators, Bull. Am. Math. Soc. 76 (1970), 993-998. (1970) | MR 0265999 | Zbl 0201.17902

H. Brezis Equations et inéquations non-linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier (Grenoble) 18 (1968), 115-176. (1968) | MR 0270222 | Zbl 0169.18602

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) | MR 0268734 | Zbl 0202.42803

M. Katětov O normovaných vektorových prostorech, Rozpravy II. tř. České akad. 53, a. 45 (1944), 1-27. (1944) | MR 0024068

L. M. Graves Some mapping theorems, Duke Math. J. 17 (1950), 111-114. (1950) | MR 0035398 | Zbl 0037.20401

R. G. Bartle On the openness and inversion of differentiate mappings, Ann. Acad. Sci. Fennicae I (Math.) 257 (1958), 8 pp. (1958) | MR 0104172

J. Kolomý Openness of nonlinear operators, (to appear).

L. P. Belluce W. A. Kirk Some fixed point theorems in metric and Banach spaces, Canad. Math. Bull. 12 (1969), 481-491. (1969) | MR 0250148

W. A. Kirk On nonlinear mappings of strongly semicontractive type, J .of Math. Anal. and Appl. 27 (1969), 409-412. (1969) | MR 0244814 | Zbl 0183.15103

J. Daneš Fixed point theorems, Nemyckii and Uryson operators and continuity of nonlinear mappings, Comment. Math. Univ. Carolinae 11 (1970), 481-500. (1970) | MR 0283647