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On surjectivity for nonlinear maps in Banach spaces. (English) Zbl 0349.47050


MSC:

47J05 Equations involving nonlinear operators (general)
Full Text: DOI

References:

[1] Amann, H., Fixed points of asymptotically linear maps in ordered Banach spaces, Journ. Funct. Anal., 14, 2, 162-171 (1973) · Zbl 0263.47043 · doi:10.1016/0022-1236(73)90048-7
[2] Furi, M.; Vignoli, A., A nonlinear spectral approach to surjectivity in Banach spaces, Journ. Funct. Anal., 20, 4, 304-318 (1975) · Zbl 0315.47036 · doi:10.1016/0022-1236(75)90037-3
[3] K. Georg - M. Martelli,On spectral theory for nonlinear operators, to appear in Journ. Funct. Anal. · Zbl 0345.47048
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[8] Nussbaum, R. D., The radius of the essential spectrum, Duke Math. Journ., 37, 473-470 (1970) · Zbl 0216.41602 · doi:10.1215/S0012-7094-70-03759-2
[9] Pejsachowicz, J.; Vignoli, A., On differentiability and surjectivity of α-Lipschitz maps, Ann. Mat. Pura Appl., 101, 49-63 (1974) · Zbl 0297.47058
[10] Schaefer, H. H., Über die Methode der a priori Schranken, Math. Ann., 129, 415-416 (1955) · Zbl 0064.35703 · doi:10.1007/BF01362380
[11] Vignoli, A., On quasibounded mappings and nonlinear functional equations, Accad. Naz. Lincei, 50, 2, 114-117 (1971) · Zbl 0254.47089
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