Geodesic
Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)
Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 2, pp. 413-418 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 46A30, 47-80, 47H10, 47H15, 47J05, 47J25 
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Kolomý, Josef. Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication). Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 2, pp. 413-418. http://geodesic.mathdoc.fr/item/CMUC_1971_12_2_a15/

[1] F. BROWDER: On the Fredholm alternative for nonlinear operators. Bull. Am. Math. Soc. 76 (1970), 993-998. | MR | Zbl

[2] H. BREZIS: Equations et inéquations non-linéaires dans les espaces vectoriels en dualité. Ann. Inst. Fourier (Grenoble) 18 (1968), 115-176. | MR | Zbl

[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. | MR | Zbl

[4] M. KATĚTOV: O normovaných vektorových prostorech. Rozpravy II. tř. České akad. 53, a. 45 (1944), 1-27. | MR

[5] L. M. GRAVES: Some mapping theorems. Duke Math. J. 17 (1950), 111-114. | MR | Zbl

[6] R. G. BARTLE: On the openness and inversion of differentiate mappings. Ann. Acad. Sci. Fennicae I (Math.) 257 (1958), 8 pp. | MR

[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. | MR

[9] W. A. KIRK: On nonlinear mappings of strongly semicontractive type. J .of Math. Anal. and Appl. 27 (1969), 409-412. | MR | Zbl

[10] J. DANEŠ: Fixed point theorems, Nemyckii and Uryson operators and continuity of nonlinear mappings. Comment. Math. Univ. Carolinae 11 (1970), 481-500. | MR