On a class of maps related to the furi-martelli-vignoli spectrum

Annali di Matematica Pura ed Applicata

Volumn 179, Issue 1, 2001, Pages 215-228

  Appell, J ^a   Giorgieri, E ^b   Vath M ^a  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000456288     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/BF02505956     Document Type: Article

References (11)

1. R. R. AKHMEROV - M. I. KAMENSKIJ - A. S. POTAPOV - A. E. RODKINA - B. N. SADOVSKIJ, Measures of Noncompactness and Condensing Operators [in Russian], Nauka, Novosibirsk 1986; Engl. transi., Birkhäuser, Basel (1992).
2. J. APPELL - M. DöRFNER, Some spectral theory for nonlinear operators, Nonlin. Anal. TMA, 28, 12 (1997), pp. 1955-1976.
3. K. DEIMLING: Nonlinear Functional Analysis, Springer, Berlin (1985).
4. W. FENG, A new spectral theory for nonlinear operators and its applications, Abstr. Appl. Anal., 2 (1997), pp. 163-183.
5. M. Fuw - M. MARTELLI - A. VIGNOLI, Stably solvable operators in Banach spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat., 60 (1976), pp. 21-26.
6. M. FURI - M. MARTELLI - A. VIGNOLI, Contributions to the spectral theory for nonlinear operators in Banach spaces, Annali Mat. Pura Appl., 118 (1978), pp. 229-294.
7. M. FURI - M. MARTELLI - A. VIGNOLI, On the solvability of nonlinear operator equations in normed spaces, Annali Mat. Pura Appl., 128 (1980), pp. 321-343.
8. R. D. NUSSBAUM:, A generalization of the Ascoli theorem and an application to functional differential equations, J. Math. Anal. Appl., 35 (1971), 600-610.
9. E. U. TARAFDAR - H. B. THOMPSON: On the solvability of nonlinear noncompact operator equations, J. Austral. Math. Soc., 43 (1987), pp. 103-114.
10. M. VäTH, Fixed point free maps of a closed ball with small measure of noncompactness, submitted.
11. A. VIGNOLI, On a-contractions and surjectivity, Boll. Unione Mat. Ital., 4-A (1971), pp. 446-455.