×

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


MSC:

47A30 Norms (inequalities, more than one norm, etc.) of linear operators
47H99 Nonlinear operators and their properties
47H10 Fixed-point theorems
PDF BibTeX XML Cite
Full Text: DOI EuDML

References:

[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.