Title:
|
An existence theorem via an intuitive idea and fixed-point theorems (English) |
Author:
|
Lee, Cheng Ming |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
19 |
Issue:
|
4 |
Year:
|
1978 |
Pages:
|
715-725 |
. |
Category:
|
math |
. |
MSC:
|
54B20 |
MSC:
|
54C60 |
MSC:
|
54H25 |
idZBL:
|
Zbl 0404.54038 |
idMR:
|
MR518183 |
. |
Date available:
|
2008-06-05T20:59:41Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105887 |
. |
Reference:
|
[1] F. E. BROWDER: The fixed point theory of multi-valued mappings in topological vector spaces.Math. Ann. 177 (1968), 283-301. Zbl 0176.45204, MR 0229101 |
Reference:
|
[2] J. CARISTI: Fixed point theorems for mappings satisfying inwardness conditions.Trans. Amer. Math. Soc. 215 (1975), 241-251. MR 0394329 |
Reference:
|
[3] M. EDELSTEIN: On fixed and periodic points under contractive mappings.J. London Math. Soc. 37 (1962), 74-79. Zbl 0113.16503, MR 0133102 |
Reference:
|
[4] K. FAN: A generalization of Tychonoff's fixed point theorem.Math. Ann. 142 (1961), 305-310. Zbl 0093.36701, MR 0131268 |
Reference:
|
[5] K. FAN: Extensions of two fixed point theorems of F. E. Browder.Math. Z. 112 (1969), 234-240. Zbl 0185.39503, MR 0251603 |
Reference:
|
[6] B. R. HALPERN: Fixed point theorems for outward maps.Doctoral Thesis, Univ. of Calif., Los Angeles, Calif. (1965). MR 2614944 |
Reference:
|
[7] B. R. HALPERN: Fixed point theorems for set-valued maps in infinite dimensional spaces.Math. Ann. 189 (1970), 87-98. Zbl 0191.14701, MR 0273479 |
Reference:
|
[8] S. REICH: Fixed points in locally convex spaces.Math. Z. 125 (1972), 17-31. Zbl 0216.17302, MR 0306989 |
Reference:
|
[9] E. ROTHE: Zur Theorie der topologischen Ordnung und der Vektorfelder in Banachschen Räumen.Compos. Math. 5 (1937), 177-196. Zbl 0018.13304 |
Reference:
|
[10] V. M. SEHGAL: A fixed point theorem for mappings with a contractive iterate.Proc. Amer. Math. Soc. 23 (1969), 631-634. Zbl 0186.56503, MR 0250292 |
Reference:
|
[11] D. R. SMART: Fixed Point Theorems.Cambridge Univ. Press (1974). Zbl 0297.47042, MR 0467717 |
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