Remarks on set-contractions and condensing maps. (English) Zbl 0266.47008


47A30 Norms (inequalities, more than one norm, etc.) of linear operators
47H99 Nonlinear operators and their properties
47H10 Fixed-point theorems
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[1] Browder, F. E.: On the spectral theory of elliptic differential operators I. Math. Ann.142, 22-130 (1961) · Zbl 0104.07502
[2] Gohberg, I. C., Krein, M. G.: The basic properties on defect numbers, root numbers, and indices of linear operators. Amer. math. Soc. Translat. II. Ser.13, 185-264 (1960)
[3] Kuratowski, C.: Sur les espaces complets. Fundamenta Math.15, 301-309 (1930) · JFM 56.1124.04
[4] Lebow, A., Schechter, M.: Semigroups of operators, and measures of noncompactness. J. functional Analysis7, 1-26 (1971) · Zbl 0209.45002
[5] Nussbaum, R. D.: The fixed point index for local condensing maps. Ann. Mat. pura appl. IV. Ser.89, 217-258 (1971) · Zbl 0226.47031
[6] Nussbaum, R. D.: The radius of the essential spectrum. Duke math. J.38, 473-478 (1970) · Zbl 0216.41602
[7] Petryshyn, W. V.: Remarks on condensing andk-set-contractive mappings. J. math. Analysis Appl.39, 717-741 (1972) · Zbl 0238.47041
[8] Webb, J. R. L.: Remarks onk-set-contractions. Boll. Un. mat. Ital. IV. Ser.4, 614-629 (1971). · Zbl 0219.47058
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