Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach (Q2368399)

The authors give some fixed point theorems for multivalued maps in Fréchet spaces satisfying a compactness condition of Mönch type [\textit{H.~Mönch}, Nonlinear Anal., Theory Methods Appl.~4, 985--999 (1980; Zbl 0462.34041)] and the Leray--Schauder boundary condition in the sense that a Fréchet space can be viewed as the projective limit of a sequence of Banach spaces.