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Banach Space Theory and its Applications pp 35–43Cite as

Fixed points of nonexpansive mappings and Chebyshev centers in Banach spaces with norms of type (KK)

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 991))

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References

  1. Alspach, D.E.: A Fixed Point Free Nonexpansive Map, Proc. Amer. Math. Soc., 82(3) (1981), 423–424.

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  2. Brodskii, M.S. & D.P. Mil'man: On the center of a convex set, Dokl. Akad. Nauk SSSR(N.S.), 59(1948), 837–840.

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  3. van Dulst, D.: Equivalent norms and the fixed point property for nonexpansive mappings. J. London Math. Soc. 25(2) (1982), 139–144.

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  4. Huff, R.: Banach spaces which are nearly uniformly convex, Rocky Mountain Journal of Math., 10(4) (1980), 743–749.

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  5. Kirk, W.A.: A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly, 72(1965), 1004–1006.

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  6. Lim, T.C.: Asymptotic centers and nonexpansive mappings in conjugate Banach spaces, Pac. J. Math. 90(1980), 135–143.

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  7. Lindenstrauss, J. & L. Tzafriri: Classical Banach spaces I, Springer 1977.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Amsterdam, Roetersstraat 15, 1018 WB, Amsterdam, The Netherlands

    D. van Dulst

  2. Department of Mathematics, University of New England, 2351, Armidale, N.S.W., Australia

    Brailey Sims

Authors
  1. D. van Dulst
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  2. Brailey Sims
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Albrecht Pietsch Nicolae Popa Ivan Singer

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© 1983 Springer-Verlag

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van Dulst, D., Sims, B. (1983). Fixed points of nonexpansive mappings and Chebyshev centers in Banach spaces with norms of type (KK). In: Pietsch, A., Popa, N., Singer, I. (eds) Banach Space Theory and its Applications. Lecture Notes in Mathematics, vol 991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061556

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  • DOI: https://doi.org/10.1007/BFb0061556

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12298-2

  • Online ISBN: 978-3-540-39877-6

  • eBook Packages: Springer Book Archive

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