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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On fixed points of nonexpansive mappings in nonconvex sets
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by W. G. Dotson
Proc. Amer. Math. Soc. 38 (1973), 155-156
DOI: https://doi.org/10.1090/S0002-9939-1973-0313894-9
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Abstract:

Two theorems are proved concerning the existence of fixed points of nonexpansive mappings on a certain class of nonconvex sets. This work extends the author’s previous work on star-shaped sets.
References
    W. G. Dotson, Jr., Fixed point theorems for nonexpansive mappings on starshaped subsets of Banach spaces, J. London Math. Soc. (2) 4 (1972), 408-410.
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 155-156
  • MSC: Primary 47H10
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0313894-9
  • MathSciNet review: 0313894