Fixed point theory for weakly inward Kakutani maps: The projective limit approach

Agarwal, Ravi; O’Regan, Donal

doi:10.1090/S0002-9939-06-08680-1

Fixed point theory for weakly inward Kakutani maps: The projective limit approach
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by Ravi P. Agarwal and Donal O’Regan

Proc. Amer. Math. Soc. 135 (2007), 417-426

DOI: https://doi.org/10.1090/S0002-9939-06-08680-1

Published electronically: August 4, 2006

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Abstract:

New fixed point results are presented for weakly inward Kakutani condensing maps defined on a Fréchet space $E$. The proofs rely on the notion of an essential map and viewing $E$ as the projective limit of a sequence of Banach spaces.

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