Fixed points of cone compression and expansionmultimaps defined on Fréchet spaces: The projective limitapproach

摘要

We present a generalization of the cone compression and expansionresults due to Krasnoselskii and Petryshyn for multivalued mapsdefined on a Fréchet spaceE. The proof relies on fixed pointresults in Banach spaces and viewingEas the projective limitof a sequence of Banach spaces.