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We present a generalization of the cone compression and expansion results due to Krasnoselskii and Petryshyn for multivalued maps defined on a Fr&#x00e9;chet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces

Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: The projective limit approach