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Nonexpansive mappings and proximinality in normed almost linear spaces

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Functional Analysis and Operator Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1511))

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References

  1. Garkavi, A.L., The best possible net and the best possible cross-section of a set in a normed space, Amer.Math.Soc.Translation (series 2) 39 (1964), 111–132.

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  2. Godini, G., A framework for Best Simultaneous Approximation: Normed Almost Linear Spaces, J. Approx. Theory 43, 338–358 (1985).

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  3. Godini, G., Operators in normed almost linear spaces, Rend.Cire.Mat.Palermo, 14, 309–328, 1987.

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  4. Holmes, R.B. A course on optimization and best approximation, lecture Notes in Mathematics No. 257, Springer-Verlag, Berlin, Heidelberg and New York, 1972.

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  5. Lotz, H.P., Extentions and liftings of positive linear mappings of Banach lattices, Trans.Amer.Math.Soc. 211 (1975), 85–100.

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  6. Prolla, J.B., Nonexpansive mappings and Chebyshev centres in (AL)-spaces. Approximation Theory IV, Academic Press, New York/London, 1983.

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Author information

Authors and Affiliations

  1. Ramanujan Institute, University of Madras, 600 005, Madras, India

    Geetha S. Rao & T. L. Bhaskaramurthi

Authors
  1. Geetha S. Rao
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  2. T. L. Bhaskaramurthi
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Editor information

B. S. Yadav D. Singh

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Dedicated to the memory of U.N. Singh

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© 1992 Springer-Verlag

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Rao, G.S., Bhaskaramurthi, T.L. (1992). Nonexpansive mappings and proximinality in normed almost linear spaces. In: Yadav, B.S., Singh, D. (eds) Functional Analysis and Operator Theory. Lecture Notes in Mathematics, vol 1511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093799

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  • DOI: https://doi.org/10.1007/BFb0093799

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55365-6

  • Online ISBN: 978-3-540-47041-0

  • eBook Packages: Springer Book Archive

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