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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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A nonstationary iterative process for nonexpansive mappings
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by C. W. Groetsch PDF
Proc. Amer. Math. Soc. 43 (1974), 155-158 Request permission

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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Additional 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