An extension of Fan's fixed point theorem and equilibrium point of an abstract economy

Enayet U, Tarafdar

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 723-730
  • ISSN: 0010-2628

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Tarafdar, Enayet U,. "An extension of Fan's fixed point theorem and equilibrium point of an abstract economy." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 723-730. <http://eudml.org/doc/17893>.

@article{Tarafdar1990,
author = {Tarafdar, Enayet U,},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point theorems for multivalued mappings in locally convex spaces; K. Fan's fixed point theorem for almost upper semicontinuous mappings; Debreu and Shafer-Sonnenschein theorems on equilibrium points for the case of economics in locally convex topological vector},
language = {eng},
number = {4},
pages = {723-730},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An extension of Fan's fixed point theorem and equilibrium point of an abstract economy},
url = {http://eudml.org/doc/17893},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Tarafdar, Enayet U,
TI - An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 723
EP - 730
LA - eng
KW - fixed point theorems for multivalued mappings in locally convex spaces; K. Fan's fixed point theorem for almost upper semicontinuous mappings; Debreu and Shafer-Sonnenschein theorems on equilibrium points for the case of economics in locally convex topological vector
UR - http://eudml.org/doc/17893
ER -

References

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  1. Arrow K., Debreu G., Existence of equilibrium for a competitive economy, Econometrica 22 (1954). (1954) Zbl0055.38007MR0077069
  2. Debreu G., A social equilibrium existence theorem, Proceedings of the National Academy of Sciences of the U.S.A. 38 (1952), 886-893. (1952) Zbl0047.38804MR0050251
  3. Fan K., Fixed-point and minimax theorems in locally convex topological vector spaces, Proceedings of the National Academy of Sciences of the U.S.A. 38 (1952), 121-126. (1952) Zbl0047.35103MR0047317
  4. Fan K., Some properties of convex sets related to fixed point theorems, Math. Ann. 266 (1984), 519-537. (1984) Zbl0515.47029MR0735533
  5. Gale D., Mas-Collel A., An equilibrium existence theorem for a general model without ordered preferences, Journal of Mathematical Economics 2 (1975), 9-15. (1975) MR0381651
  6. Kelley J., Namioka I., Linear topological space, Springer-Verlag, New York, Heidelberg, Berlin 1963. (1963) Zbl0318.46001MR0166578
  7. Ma T. W., On the sets with convex sections, J. Math. Anal, and Applications 27 (1969), 413-416. (1969) Zbl0176.42703MR0247408
  8. Mas-Collel A., An equilibrium existence theorem without complete or transitive preferences, Journal of Mathematical Economics 1 (1974), 237-246. (1974) MR0439074
  9. Nash J. F., Equilibrium states in N-persons games, Proceedings of the National Academy of Sciences of the U.S.A. 36 (1950), 48-49. (1950) MR0031701
  10. Nikaido H., Convex structures and economic theory, Academic Press, New York 1968. (1968) Zbl0172.44502MR0277233
  11. Schaefer H. H., Topological vector spaces, The MacMillan Company, New York, Collier-MacMillan Limited, London 1966. (1966) Zbl0141.30503MR0193469
  12. Shafer W., Sonnenschein H., Equilibrium in abstract economics without ordered preferences, Journal of Mathematical Economics 2 (1975), 345-348. (1975) Zbl0312.90062MR0398464

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