FIXED POINT THEORY IN FRECHET SPACES FOR INWARD AND WEAKLY INWARD VOLTERRA TYPE OPERATORS

Donal O'Regan, Nikolaos S. Papageorgiou

Abstract


New fixed point theorems for multivalued maps between Frechet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Frechet space as the projective limit of a sequence of Banach spaces. In particular we prove fixed point theorems for inward and weakly inward Volterra type maps.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)