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Original Articles

THE RELATIONSHIP BETWEEN LIPSCHITZ EXTENSIONS, BEST APPROXIMATIONS, AND CONTINUOUS SELECTIONS

Pages 261-268 | Received 02 Nov 1989, Published online: 17 Sep 2010

References

  • Czipszer , J. and Gehér , L. 1955 . Extension of functions satisfying a Lipschitz condition . Acta Math. Acad. Scie. Hungar. , 6 : 213 –220
  • Deutsch , F. 1979 . “ A general existence theorem for best approximations, ed by ” . In Approximations in Theorie und Praxis Edited by: Meinardus , G. 71 –83, Bibliographisches Institut, Mannheim
  • Deutsch , F. , Li , Wu and Park , S.-H. “ Tietze Extensions and continuous selections for metric projections, to appear ” . In Journal of Approximation Theory.
  • Michael , E. 1956 . Selected selection theorems . Amer. Math. Monthly , 63 : 233 –237
  • O'Farrell , A. G. 1974 . Lipschitz Functions and bad metrics . Michigan Math. J. , 21 : 277 –287
  • Sherbert , D. R. 1963 . Banach Algebras of Lipschitz Functions . Pac. J. of Math. , 13 : 1387 –1399
  • Sherbert , D. R. 1964 . The structure of ideals and point derivations in Banach algebras of Lipschitz functions . Trans. Amer. Math. Soc. , 111 : 240 –272
  • Stein Jr , J. D. 1969 . Functions satisfying Lipschitz condition . Michigan Math. J. , 16 : 385 –396

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