Title:
|
Five equivalent theorems on a convex subset of a topological vector space (English) |
Author:
|
Tarafdar, Enayat |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
30 |
Issue:
|
2 |
Year:
|
1989 |
Pages:
|
323-326 |
. |
Category:
|
math |
. |
MSC:
|
46A55 |
MSC:
|
47H10 |
idZBL:
|
Zbl 0681.47029 |
idMR:
|
MR1014132 |
. |
Date available:
|
2008-06-05T21:38:46Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106750 |
. |
Reference:
|
[1] Allen G.: Variational inequalities, complementarity problems, and duality theorems.J. Math. Anal. Appl. 58 (1977), 1-10. Zbl 0383.49005, MR 0513305 |
Reference:
|
[2] Fan K.: A minimax inequality and applications, Inequalities.Vol III, (Ed. O. Shisha), New York, London, Academic Press 13, 1972, pp. 103-113. MR 0341029 |
Reference:
|
[3] Fan K.: Some properties of convex sets related to fixed point theorems.Math. Ann. 266 (1984), 519-537. Zbl 0515.47029, MR 0735533 |
Reference:
|
[4] Knaster B., Kuratowski C, Mazurkiewicz S.: Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe.Fund. Math. 14 (1929), 132-137. |
Reference:
|
[5] Lin T. C.: Convex sets, fixed points, variational and minimax inequalities.Bull. Austral. Math. Soc. 34 (1986), 107-117. Zbl 0597.47038, MR 0847978 |
Reference:
|
[6] Tarafdar E.: A fixed point theorem equivalent to Fan-Knaster-Kuratowski-Mazurkiewic's theorem.J. Math. Anal. Appl. 128 (1987), 475-479. MR 0917380 |
Reference:
|
[7] Tarafdar E.: On nonlinear variational inequalities.Proc. Amer. Math. Soc. 67 (1977), 95-98. Zbl 0369.47029, MR 0467408 |
Reference:
|
[8] Tarafdar E.: Variational problems via a fixed point theorem.Indian Journal of Mathematics 28 (1986), 229-240. Zbl 0641.49005, MR 0900728 |
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