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

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

Keywords

  • Banach Space
  • Unit Ball
  • Convex Subset
  • Nonexpansive Mapping
  • Compact Convex

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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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© 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

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