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Fixed point rays of nonexpansive mappings

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1514)

Abstract

Let T be a nonexpansive mapping on a strictly convex and smooth Banach space X. It is shown, that T(ty)=ty for any t ε R implies T(x+y)=(Tx)+y for any x ε X.

Heisenberg Fellow of Deutsche Forschungsgemeinschaft

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References

  1. U. Krengel, M. Lin, An integral representation of disjointly additive order preserving operators in L 1, Stochastic Anal. Appl. 6 (1988), 289–304.

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© 1992 Springer-Verlag

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Wittmann, R. (1992). Fixed point rays of nonexpansive mappings. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097541

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  • DOI: https://doi.org/10.1007/BFb0097541

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55444-8

  • Online ISBN: 978-3-540-47076-2

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