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Proceedings of the American Mathematical Society

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

 
 

 

A nonstationary iterative process for nonexpansive mappings


Author: C. W. Groetsch
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
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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 [Enhancements On Off] (What's this?)

  • W. A. Kirk, On successive approximations for nonexpansive mappings in Banach spaces, Glasgow Math. J. 12 (1971), 6–9. MR 298501, DOI https://doi.org/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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Keywords: Nonexpansive mapping, fixed point, uniformly convex space, iterative process
Article copyright: © Copyright 1974 American Mathematical Society