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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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A nonstationary iterative process for nonexpansive mappings
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by C. W. Groetsch
Proc. Amer. Math. Soc. 43 (1974), 155-158
DOI: https://doi.org/10.1090/S0002-9939-1974-0328685-3
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Abstract:

It is shown that a nonstationary analogue of an iterative process of Kirk serves to approximate fixed points of compact nonexpansive mappings defined on convex subsets of a uniformly convex space.
References
  • W. A. Kirk, On successive approximations for nonexpansive mappings in Banach spaces, Glasgow Math. J. 12 (1971), 6–9. MR 298501, DOI 10.1017/S0017089500001063
    • Z. Opial, Nonexpansive and monotone mappings in Banach spaces, Lecture Notes 67-1, Division of Applied Mathematics, Brown University, Providence, R.I., 1967.
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 155-158
  • MSC: Primary 47H10
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0328685-3
  • MathSciNet review: 0328685