On the structure of fixed point sets of pseudo-contractive mappings. II
Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 2, pp. 299-310 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 47H10
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}
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Schöneberg, Rainald. On the structure of fixed point sets of pseudo-contractive mappings. II. Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 2, pp. 299-310. http://geodesic.mathdoc.fr/item/CMUC_1977_18_2_a7/

[1] L. M. BLUMENTHAL: Theory and applications of distance geometry. Clarendon Press, Oxford (1953). | MR | Zbl

[2] F. E. BROWDER: Semicontractive and semiaccretive nonlinear mappings in Banach-spaces. Bull. Amer. Math. Soc. 74 (1968), 660-665. | MR | Zbl

[3] R. E. BRUCK, Jr.: Properties of fixed-point sets of nonexpansive mappings in Banach-spaces. Trans. Amer. Math. Soc. 179 (1973), 251-262. | MR | Zbl

[4] K. DEIMLING: Zeros of accretive operators. Manuacripta Math. 13 (1974), 365-374. | MR | Zbl

[5] J. DUGUNDJI: An extenaion of Tietze's theorem. Pacific J. Math. 1 (1951), 353-367. | MR

[6] J. DUGUNDJI: Topology. Allyn and Bacon Inc., Boston (1966) | MR | Zbl

[7] K. FLORET: Eine Bemerkung über a-priori Fixpunkte nichtexpansiver Abbildungen. Manuacripta Math. 6 (1972), 321-326. | MR

[8] T. KATO: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan 18 (1967), 508-520. | MR | Zbl

[9] W. A. KIRK: A fixed point theorem for mappings which do not increase distance. Amer. Math. Monthly 72 (1965), 1004-1006. | MR

[10] E. A. LIFSCHITZ B. N. SADOVSKI: A fixed point theorem for generalized condensing operators. Dokl. Akad. Nauk SSSR 183 (1968), 278-279. | MR

[11] S. REICH: On fixed point theorems obtained from existence theorems for differential equations. J. Math. Anal. Appl. 54 (1976), 26-36. | MR | Zbl

[12] J. REINERMANN R. SCHÖNEBERG: Some results and problems in the fixed point theory for nonexpansive and pseudo-contractive mappings in Hilbert-space. Proceedings on a Seminar "Fixed Point Theory and its Applications", Dalhousie University, Halifax N.S., Canada, June 9-12, 1975, Academic Press. | MR

[13] B. N. SADOVSKI: Limit-compact and condensing operators. Russian Math. Surveys 27 (1972), 85-155. | MR

[14] H. H. SCHAEFER: Über die Methode sukzessiver Approximationen. J. Bericht Deutsch. Math.- Verein 59 (1957), 131-140. | MR | Zbl

[15] R. SCHÖNEBERG: A note on connection properties of fixed point sets of nonexpansive mappings. Math. Nachr. (to appear). | MR

[16] D. STOYAN: Über Zusammenhangseigenschaften der Fixpunktmenge einer kompakten kontraktiven Abbildung. Wiss. Z. Techn. Univ. Dresden 16 (1967), 1351-1352. | MR | Zbl