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On the fixed point set of nonexpansive order preserving maps

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References

  • [A1] Alspach, D.: A fixed-point free nonexpansive map. Proc. Am. Math. Soc.82, 423–424 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  • [AK] Akcoglu, M.A., Krengel, U.: Nonlinear models of diffusion on a finite space. Probab. Th. Rel. Fields76, 411–420 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  • [B1] Bruck, R.E.: A common fixed point theorem for a commuting family of nonexpansive mappings. Pacific J. Math.53, 59–71 (1979)

    MathSciNet  Google Scholar 

  • [B2] Bruck, R.E.: Asymptotic behavior of nonexpansive mappings. Contemp. Math.18, 1–47 (1983)

    MATH  MathSciNet  Google Scholar 

  • [CT] Crandall, M.G., Tartar, L.: Some relations between nonexpansive and order preserving mappings. Proc. Am. Math. Soc.78, 385–390 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  • [Ki] Kirk, W.A.: Fixed point theory for nonexpansive mappings II. Contemp. Math.58, 170–192 (1987)

    Google Scholar 

  • [RS] Ray, W.O., Sine, R.C.: Nonexpansive mappings with precompact orbits (Lect. Notes Math. vol. 886, pp. 409–416) Berlin Heidelberg New York, Springer 1981

    Google Scholar 

  • [S] Sine, R.C.: On nonlinear contraction semigroups in sup norm spaces. Nonlin. Anal., Theory Methods Appl.3, 885–890 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  • [So] Soardi, P.: Existence of fixed points of nonexpansive mappings in certain Banach lattices. proc. Am. Math. Soc.73, 25–29 (1979)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Michael Lin

  2. Department of Mathematics, University of Rhode Island, 02881, Kingston, RI, USA

    Robert Sine

Authors
  1. Michael Lin
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  2. Robert Sine
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Lin, M., Sine, R. On the fixed point set of nonexpansive order preserving maps. Math Z 203, 227–234 (1990). https://doi.org/10.1007/BF02570732

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  • DOI: https://doi.org/10.1007/BF02570732

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