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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
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Category: math
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MSC: 54B20
MSC: 54C60
MSC: 54H25
idZBL: Zbl 0404.54038
idMR: MR518183
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Date available: 2008-06-05T20:59:41Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105887
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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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