| Title:
|
On the structure of fixed point sets of pseudo-contractive mappings. II. (English) |
| Author:
|
Schöneberg, Rainald |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
2 |
| Year:
|
1977 |
| Pages:
|
299-310 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0358.47034 |
| idMR:
|
MR0513073 |
| . |
| Date available:
|
2008-06-05T20:54:38Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105774 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105736 |
| . |
| Reference:
|
[1] L. M. BLUMENTHAL: Theory and applications of distance geometry.Clarendon Press, Oxford (1953). Zbl 0050.38502, MR 0054981 |
| Reference:
|
[2] F. E. BROWDER: Semicontractive and semiaccretive nonlinear mappings in Banach-spaces.Bull. Amer. Math. Soc. 74 (1968), 660-665. Zbl 0164.44801, MR 0230179 |
| Reference:
|
[3] R. E. BRUCK, Jr.: Properties of fixed-point sets of nonexpansive mappings in Banach-spaces.Trans. Amer. Math. Soc. 179 (1973), 251-262. Zbl 0265.47043, MR 0324491 |
| Reference:
|
[4] K. DEIMLING: Zeros of accretive operators.Manuacripta Math. 13 (1974), 365-374. Zbl 0288.47047, MR 0350538 |
| Reference:
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[5] J. DUGUNDJI: An extenaion of Tietze's theorem.Pacific J. Math. 1 (1951), 353-367. MR 0044116 |
| Reference:
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[6] J. DUGUNDJI: Topology.Allyn and Bacon Inc., Boston (1966) Zbl 0144.21501, MR 0193606 |
| Reference:
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[7] K. FLORET: Eine Bemerkung über a-priori Fixpunkte nichtexpansiver Abbildungen.Manuacripta Math. 6 (1972), 321-326. MR 0303366 |
| Reference:
|
[8] T. KATO: Nonlinear semigroups and evolution equations.J. Math. Soc. Japan 18 (1967), 508-520. Zbl 0163.38303, MR 0226230 |
| Reference:
|
[9] W. A. KIRK: A fixed point theorem for mappings which do not increase distance.Amer. Math. Monthly 72 (1965), 1004-1006. MR 0189009 |
| Reference:
|
[10] E. A. LIFSCHITZ B. N. SADOVSKI: A fixed point theorem for generalized condensing operators.Dokl. Akad. Nauk SSSR 183 (1968), 278-279. MR 0236789 |
| Reference:
|
[11] S. REICH: On fixed point theorems obtained from existence theorems for differential equations.J. Math. Anal. Appl. 54 (1976), 26-36. Zbl 0328.47034, MR 0402554 |
| Reference:
|
[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 0451052 |
| Reference:
|
[13] B. N. SADOVSKI: Limit-compact and condensing operators.Russian Math. Surveys 27 (1972), 85-155. MR 0428132 |
| Reference:
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[14] H. H. SCHAEFER: Über die Methode sukzessiver Approximationen.J. Bericht Deutsch. Math.- Verein 59 (1957), 131-140. Zbl 0077.11002, MR 0084116 |
| Reference:
|
[15] R. SCHÖNEBERG: A note on connection properties of fixed point sets of nonexpansive mappings.Math. Nachr. (to appear). MR 0506861 |
| Reference:
|
[16] D. STOYAN: Über Zusammenhangseigenschaften der Fixpunktmenge einer kompakten kontraktiven Abbildung.Wiss. Z. Techn. Univ. Dresden 16 (1967), 1351-1352. Zbl 0236.54034, MR 0238141 |
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