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A Remark on Nonexpansive Mappings

Published online by Cambridge University Press:  20 November 2018

Kazimierz Goebel  and
Małgorzata Koter
Kazimierz Goebel
Affiliation:
Maria Curie-Skłodowska University, Department of Mathematics, Nowotki 10, 20-031 Lublin, Poland
Małgorzata Koter
Affiliation:
Maria Curie-Skłodowska University, Department of Mathematics, Nowotki 10, 20-031 Lublin, Poland
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Let X be a closed convex subset of a Banach space and let T: X → X be a nonexpansive mapping, i.e.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 113 - 115
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Browder, F. E., Nonexpansive nonlinear operators in Banach spaces, Proc. Nat. Acad. Sci. US. 54 (1962), 1041-1044.Google Scholar
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3. Karlovitz, L. E., On nonexpansive mappings, Proc. Amer. Math. Soc. 55 (1962), 321-325.Google Scholar
4. Kirk, W. A., A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthl. 72 (1962), 1004-1006.Google Scholar