A fixed point theorem in a Hausdorff topological vector space

Won Kyu Kim

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 1, page 33-38
  • ISSN: 0010-2628

Abstract

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In this paper, we will give a new fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space.

How to cite

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Kim, Won Kyu. "A fixed point theorem in a Hausdorff topological vector space." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 33-38. <http://eudml.org/doc/247739>.

@article{Kim1995,
abstract = {In this paper, we will give a new fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space.},
author = {Kim, Won Kyu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point; lower semicontinuous; open graph; open convex; Hausdorff topological vector space; open graph; fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space},
language = {eng},
number = {1},
pages = {33-38},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A fixed point theorem in a Hausdorff topological vector space},
url = {http://eudml.org/doc/247739},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Kim, Won Kyu
TI - A fixed point theorem in a Hausdorff topological vector space
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 1
SP - 33
EP - 38
AB - In this paper, we will give a new fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space.
LA - eng
KW - fixed point; lower semicontinuous; open graph; open convex; Hausdorff topological vector space; open graph; fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space
UR - http://eudml.org/doc/247739
ER -

References

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  1. Ding X.P., Kim W.K., Tan K.K., A selection theorem and its applications, Bull. Austral. Math. Soc. 46 (1992), 205-212. (1992) Zbl0762.47030MR1183778
  2. Idzik A., Approximative continuous selections and approximative fixed points for convex set-valued functions, preprint, 1991. 
  3. Istratescu V.I., Fixed Point Theory, D. Reidel Pub. Co., 1981. Zbl0465.47035MR0620639
  4. Park S., The Brouwer and Schauder fixed point theorems for spaces having certain contractible subsets, Bull. Kor. Math. Soc. 30 (1993), 83-89. (1993) Zbl0826.54032MR1217373
  5. Rassias T.M., On fixed point theory in non-linear analysis, Tamkang J. Math. 8 (1977), 233-237. (1977) Zbl0394.47030MR0510168
  6. Rudin W., Functional Analysis, McGraw-Hill, 1973. Zbl0867.46001MR0365062
  7. Tian G., Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity, J. Math. Anal. Appl. 170 (1992), 457-471. (1992) Zbl0767.49007MR1188565
  8. Toussaint S., On the existence of equilibria in economies with infinitely many commodities and without ordered preferences, J. Econom. Theory 33 (1984), 98-115. (1984) Zbl0543.90016MR0748029

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