Open AccessStrict Equilibria of Multi-Valued Maps and Common Fixed Points
Author(s) -
Grzegorz Gabor
Publication year - 2004
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1189
Subject(s) - mathematics , invariant (physics) , euclidean geometry , fixed point , pure mathematics , differential (mechanical device) , euclidean distance , discrete mathematics , mathematical analysis , geometry , mathematical physics , engineering , aerospace engineering
In the paper we deal with strict equilibria of continuous multi-valued maps. This allows us to study the invariance problem for differential inclusions in non-invariant closed subsets of Euclidean spaces. We also give a new method in studying common fixed points of families of maps.
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