Some remarks and applications of an extension of a lemma of Ky Fan
Commentationes Mathematicae Universitatis Carolinae (1988)
- Volume: 029, Issue: 3, page 567-575
- ISSN: 0010-2628
Access Full Article
topHow to cite
topSessa, Salvatore. "Some remarks and applications of an extension of a lemma of Ky Fan." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 567-575. <http://eudml.org/doc/17669>.
@article{Sessa1988,
author = {Sessa, Salvatore},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {almost affine; onward set; fixed point theorem; coincidence theorems},
language = {eng},
number = {3},
pages = {567-575},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks and applications of an extension of a lemma of Ky Fan},
url = {http://eudml.org/doc/17669},
volume = {029},
year = {1988},
}
TY - JOUR
AU - Sessa, Salvatore
TI - Some remarks and applications of an extension of a lemma of Ky Fan
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 567
EP - 575
LA - eng
KW - almost affine; onward set; fixed point theorem; coincidence theorems
UR - http://eudml.org/doc/17669
ER -
References
top- H. F. BOHNENBLUST S. KARLIN, On a theorem of Ville in: "Contributions to the Theory of Games", (H. W. KUHN and A. W TUCKER Eds.), Vol. I, Ann. of Math. Studies 24, Princeton Univ. Press (1950), 155-160. (1950) MR0041415
- F. E. BROWDER, The fixed point theory of multivalued mappings in topological vector spaces, Math. Ann. 177 (1968), 283-301. (1968) MR0229101
- F. E. BROWDER, On a sharpened form of the Schauder fixed point theorem, Proc. Nat. Acad. Sci. USA 74 (1977), 4749-4751. (1977) Zbl0375.47028MR0463982
- F. E. BROWDER, Coincidence theorems, minimax theorems and variational inequalities, Contemporary Math., Vol. 26, Amer. Math. Soc, Providence, R.I., (1984) 67-80. (1984) Zbl0542.47046MR0737389
- K. FAN, Fixed point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. USA 38 (1952), 121-126. (1952) Zbl0047.35103MR0047317
- K. FAN, A generalization of Tychonoff's fixed point theorem, Math. Ann. 142 (1961), 305-310. (1961) Zbl0093.36701MR0131268
- K. FAN, A minimax inequality and applications, in: "Inequalities", (O. SHISHA Ed.), Vol. III, Academic Press, New York, London (1972), 103-113. (1972) MR0341029
- K. FAN, Some properties of convex sets related to fixed point theorems, Math. Ann. 266 (1984), 519-537. (1984) Zbl0515.47029MR0735533
- I. L. GLICKSBERG, A further generalization of the Kakutani fixed point theorem with application to Nash equilibrium points, Proc. Amer. Math. Soc. 3 (1952), 170-174. (1952) Zbl0163.38301MR0046638
- C. W. HA, Minimax and fixed point theorems, Math. Ann. 248 (1980), 73-77. (1980) Zbl0413.47042MR0569411
- O. HADŽIĆ, Fixed point theory in topological vector spaces, Univ. of Novi Sad, Inst, of Math., Novi Sad, Yugoslavia (1984). (1984) MR0789224
- B. R. HALPERN G. M. BERGMAN, A fixed point theorem for inward and outward maps, Trans. Amer. Math. Soc. 130 (1968), 353-358. (1968) MR0221345
- C. J. HIMMELBERG, Fixed points for compact multifunctions, J. Math. Anal. Appl. 38 (1972), 205-207. (1972) MR0303368
- B. KNASTER C. KURATOWSKI S. MAZURKIEWICZ, Ein Beweis des Fixpunktsatzes für n-dimensional Simplexe, Fund. Math. 14 (1929), 132-137. (1929)
- H. KOMIYA, Coincidence theorem and saddle point theorem, Proc. Amer. Math. Soc. 96 (1986), 599-602. (1986) Zbl0657.47055MR0826487
- T. C. LIN, Convex sets, fixed points, variational and minimax inequalities, Bull. Austral. Math. Soc. 34 (1986), 107-117. (1986) Zbl0597.47038MR0847978
- G. MEHTA, Fixed points, equilibria and maximal elements in linear topological spaces, Comm. Math. Univ. Carolinae 28 (2) (1987), 377-385. (1987) Zbl0632.47041MR0904761
- S. PARK, Fixed point theorems on compact convex sets in topological vector spaces, MSRI Report Series, N. 25 (1986). Abstract 87T-47-211 of Amer. Math. Soc, Vol. 8, no. 6, p. 445. (1986)
- J. B. PROLLA, Fixed point theorems for set-valued mappings and existence of best approximants, Numer.- Funct. Anal. Optimiz. 5 (4) (1982-83), 449-455. (1982) MR0703107
- E. TARAFDAR, On nonlinear variational inequalities, Proc. Amer. Math. Soc. 67 (1977), 95-98. (1977) Zbl0369.47029MR0467408
- E. TARAFDAR, Variational problems via a fixed point theorem, Indian J. Math. 28 (1986), 229-240. (1986) Zbl0641.49005MR0900728
- E. TARAFDAR, A fixed point theorem equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz theorem, J. Math. Anal. Appl. 128 (1987), 475-479. (1987) Zbl0644.47050MR0917380
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.