Fixed points, equilibria and maximal elements in linear topological spaces

Ghanshyam B. Mehta

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 2, page 377-385
  • ISSN: 0010-2628

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Mehta, Ghanshyam B.. "Fixed points, equilibria and maximal elements in linear topological spaces." Commentationes Mathematicae Universitatis Carolinae 028.2 (1987): 377-385. <http://eudml.org/doc/17551>.

@article{Mehta1987,
author = {Mehta, Ghanshyam B.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {multifunction; maximal element of a multifunction; equilibrium for a qualitative game},
language = {eng},
number = {2},
pages = {377-385},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed points, equilibria and maximal elements in linear topological spaces},
url = {http://eudml.org/doc/17551},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Mehta, Ghanshyam B.
TI - Fixed points, equilibria and maximal elements in linear topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 2
SP - 377
EP - 385
LA - eng
KW - multifunction; maximal element of a multifunction; equilibrium for a qualitative game
UR - http://eudml.org/doc/17551
ER -

References

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  2. FAN K., Some properties of convex sets related to fixed point theorems, Mathematische Annalen 266 (1984), 519-537. (1984) Zbl0515.47029MR0735533
  3. FLAM S., Abstract economies and games, Soochow Journal of Mathematics 5 (1979), 155-162. (1979) MR0572740
  4. GALE D., MAS-COLELL A., An equilibrium existence theorem for a general model without ordered preferences, Jou Journal of Mathematical Economics 2 (1975), 9-16. (1975) Zbl0324.90010MR0381651
  5. GRANAS A., BEN-EL-MECHAIEKH, DEGUIRE P., Fixed points and coincidences for setvalued maps of type Φ , Comptes Rendus Acad. Sc, Paris, October 1982, pp. 381-384. (1982) 
  6. HADŽIĆ O., A coincidence theorem in topological vector spaces, Bulletin of the Australian Mathematical Society 33 (1986), 373-382. (1986) MR0837483
  7. HIMMELBERG C. J., Fixed points for compact multifunctions, Journal of Mathematical Analysis and Applications 38 (1972), 205-207. (1972) MR0303368
  8. KELLEY J., General Topology, Van Nostrand, Princeton, 1955. (1955) Zbl0066.16604MR0070144
  9. MEHTA G., TARAFDAR E., Infinite-dimensional Gale-Nikaido-Debreu theorem and a fixed-point theorem of Tarafdar, 1985, Journal of Economic Theory (to appear). Zbl0646.47036MR0882999
  10. TARAFDAR E., On nonlinear variational inequalities, Proceedings of the American Mathematical Society 67 (1977), 95-98. (1977) Zbl0369.47029MR0467408
  11. TARAFDAR E., MEHTA G., On the existence of quasi-equilibrium in a competitive economy, International Journal of Science and Engineering 1 (1984), 1-12. (1984) 
  12. YANNELIS N., PRABHAKAR N., Existence of maximal elements and equilibria in linear topological spaces, Journal of Mathematical Economics 12 (1983), 233-245. (1983) Zbl0536.90019MR0743037

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