Admissible maps, intersection results, coincidence theorems
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 4, pp. 753-762
We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Classification :
47H10, 54C60, 54H25
Keywords: acyclic map; convex space; matching theorem; coincidence theorem
Keywords: acyclic map; convex space; matching theorem; coincidence theorem
@article{CMUC_2001_42_4_a14,
author = {Balaj, Mircea},
title = {Admissible maps, intersection results, coincidence theorems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {753--762},
year = {2001},
volume = {42},
number = {4},
mrnumber = {1883383},
zbl = {1068.47068},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2001_42_4_a14/}
}
Balaj, Mircea. Admissible maps, intersection results, coincidence theorems. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 4, pp. 753-762. http://geodesic.mathdoc.fr/item/CMUC_2001_42_4_a14/