Solvability of Boundary Value Problems for the Inclusion via the Theory of Multi-Valued A-Proper Maps

  • Tomasz Kaszynski

    Université de Sherbrooke, Sherbrooke (Québec), Canada
  • Wieslaw Krawcewicz

    University of Alberta, Edmonton, Canada

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