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Zeitschrift für Analysis und ihre Anwendungen


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Volume 23, Issue 1, 2004, pp. 95–113
DOI: 10.4171/ZAA/1189

Published online: 2004-03-31

Strict Equilibria of Multi-Valued Maps and Common Fixed Points

G. Gabor[1]

(1) Nicolaus Copernicus University, Torun, Poland

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.

Keywords: Strict equilibrium, common fixed points, invariance, differential inclusions, multi-valued maps, approximations, topological degree theory, homotopy index

Gabor G.: Strict Equilibria of Multi-Valued Maps and Common Fixed Points. Z. Anal. Anwend. 23 (2004), 95-113. doi: 10.4171/ZAA/1189