Solvability of Boundary Value Problems for the Inclusion via the Theory of Multi-Valued A-Proper Maps
Tomasz Kaszynski
Université de Sherbrooke, Sherbrooke (Québec), CanadaWieslaw Krawcewicz
University of Alberta, Edmonton, Canada
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Abstract
The existence of a coincidence point for the inclusion
is studied where is a linear hyperbolic operator and is a convex-valued map. It is shown that any such monotone demi-continuous map is weakly -proper. Some existence theorems for () are established and the reults are applicated to a boundary value problem for the inclusion .
Cite this article
Tomasz Kaszynski, Wieslaw Krawcewicz, Solvability of Boundary Value Problems for the Inclusion via the Theory of Multi-Valued A-Proper Maps. Z. Anal. Anwend. 7 (1988), no. 4, pp. 337–346
DOI 10.4171/ZAA/310