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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fixed point theory for weakly inward Kakutani maps: The projective limit approach
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by Ravi P. Agarwal and Donal O’Regan PDF
Proc. Amer. Math. Soc. 135 (2007), 417-426 Request permission

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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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
  • MR Author ID: 132880
  • Received by editor(s): August 29, 2005
  • Published electronically: August 4, 2006
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 417-426
  • MSC (2000): Primary 47H10
  • DOI: https://doi.org/10.1090/S0002-9939-06-08680-1
  • MathSciNet review: 2255288