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 | References | Similar Articles | Additional Information
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.
- [1] W. A. Kirk, On successive approximations for nonexpansive mappings in Banach spaces, Glasgow Math. J. 12 (1971), 6–9. MR 298501, https://doi.org/10.1017/S0017089500001063
- [2] 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
DOI:
https://doi.org/10.1090/S0002-9939-1974-0328685-3
Keywords:
Nonexpansive mapping,
fixed point,
uniformly convex space,
iterative process
Article copyright:
© Copyright 1974
American Mathematical Society
