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Mönch, Harald; von Harten, Gerd-Friedrich

The product formula for the topological degree of strict \(\gamma\)- contractions. (English) Zbl 0366.47030

Manuscr. Math. 23, 113-123 (1977).
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Cited in 2 Documents

MSC:

47J05 Equations involving nonlinear operators (general)
55M25 Degree, winding number
55M15 Absolute neighborhood retracts
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Full Text: DOI EuDML

References:

[1] AMANN, H., a. S.A. WEISS: On the uniqueness of the topological degree. Math. Z.130, 39-54 (1973) · Zbl 0249.55004 · doi:10.1007/BF01178975
[2] DARBO, G.: Punti uniti in transformazioni a condiminio non compatto. Rend. Sem. Math. Univ. Paduva24, 84-92 (1955) · Zbl 0064.35704
[3] DEIMLING, K.: Nichtlineare Gleichungen und Abbildungsgrade. Springer Verlag 1974 · Zbl 0281.47033
[4] DUGUNDJI, J.: An extension of Tietze’s theorem. Pac. J. Math.1, 353-367 (1951) · Zbl 0043.38105
[5] FENSKE, C: Leray-Schauder Theorie für eine Klasse differen- zierbarer Abbildungen in Banachräumen. Ber. Nr. 48, Ges. Math. u. Datv. Bonn 1971 · Zbl 0232.47068
[6] GOLDENSTEIN, L.S., a. A.S. MARKUS: On a measure of noncompactness of bounded sets and linear operators. Studies in Algebra and Mathematical Analysis, 45-54 (1965)
[7] KURATOWSKI, C.: Sur les espaces complets. Fund. Math.15, 301-309 (1930) · JFM 56.1124.04
[8] LERAY, J., a. J. SCHAUDER: Topologie et equations fonctionelles. Ann. Sci. Ec. Norm. Sup.51, 45-78 (1934) · JFM 60.0322.02
[9] NAGUMO, M.: A theory of degree based on infinite dimensional analysis. Amer. J. Math.73, 485-496 (1951) · Zbl 0043.17802 · doi:10.2307/2372303
[10] NAGUMO, M.: Degree of mappings in locally convex topological vector spaces. Amer. J. Math.73, 497-511 (1951) · Zbl 0043.17801 · doi:10.2307/2372304
[11] NUSSBAUM, R.D.: Degree theory for local condensing maps. J. Math. Anal. Appl.37, 741-766 (1972) · Zbl 0232.47062 · doi:10.1016/0022-247X(72)90253-3
[12] SADOVSKII, B.N.: Limit-compact and condensing operators. Russ. Math. Surv.27, 85-155 (1972) · Zbl 0243.47033 · doi:10.1070/RM1972v027n01ABEH001364
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