Coincidence points and maximal elements of multifunctions on convex spaces

Sehie Park

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 1, page 57-67
  • ISSN: 0010-2628

Abstract

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Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.

How to cite

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Park, Sehie. "Coincidence points and maximal elements of multifunctions on convex spaces." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 57-67. <http://eudml.org/doc/247738>.

@article{Park1995,
abstract = {Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.},
author = {Park, Sehie},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {convex space; polytope; multifunction (map); upper semicontinuous (u.s.c.); lower semicontinuous (l.s.c.); compact map; acyclic; Kakutani map; acyclic map; admissible class; almost $p$-affine; almost $p$-quasiconvex; maximal element; convex space; polytope; upper semicontinuous; lower semicontinuous; Kakutani map; admissible class; almost -affine; almost - quasiconvex; maximal element; maximal element theorems; multifunctions containing composites of acyclic maps},
language = {eng},
number = {1},
pages = {57-67},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Coincidence points and maximal elements of multifunctions on convex spaces},
url = {http://eudml.org/doc/247738},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Park, Sehie
TI - Coincidence points and maximal elements of multifunctions on convex spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 1
SP - 57
EP - 67
AB - Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.
LA - eng
KW - convex space; polytope; multifunction (map); upper semicontinuous (u.s.c.); lower semicontinuous (l.s.c.); compact map; acyclic; Kakutani map; acyclic map; admissible class; almost $p$-affine; almost $p$-quasiconvex; maximal element; convex space; polytope; upper semicontinuous; lower semicontinuous; Kakutani map; admissible class; almost -affine; almost - quasiconvex; maximal element; maximal element theorems; multifunctions containing composites of acyclic maps
UR - http://eudml.org/doc/247738
ER -

References

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