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


Authors: Ravi P. Agarwal and Donal O'Regan
Journal: Proc. Amer. Math. Soc. 135 (2007), 417-426
MSC (2000): Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-06-08680-1
Published electronically: August 4, 2006
MathSciNet review: 2255288
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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.


References [Enhancements On Off] (What's this?)

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Additional Information

Ravi P. Agarwal
Affiliation: Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida 32901

Donal O'Regan
Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland

DOI: https://doi.org/10.1090/S0002-9939-06-08680-1
Keywords: Fixed point, weakly inward, Kakutani condensing map, essential map, projective limit.
Received by editor(s): August 29, 2005
Published electronically: August 4, 2006
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2006 American Mathematical Society

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