In this paper, a continuation principle is obtained for maps defined on a closed, convex subset which may have empty interior in a Fréchet space, and satisfying a condition of Mönch type. An application to first order systems of differential equations is presented to illustrate our theory.
Cite this article
Marlène Frigon, Donal O'Regan, A Leray-Schauder Alternative for Mönch Maps on Closed Subsets of Fréchet Spaces. Z. Anal. Anwend. 21 (2002), no. 3, pp. 753–760DOI 10.4171/ZAA/1106