Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (5): 568-579.

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SET-VALUED EXTENSION OF OPERATORS VIA STEINER SELECTIONS (Ⅰ)-THEORETICAL RESULTS

Terán, Pedro, López-Dían, Miguel   

  1. Facultad de Ciencias, Universidad de Oviedo, C/Calvo Sotelo, s/n 33007 Oviedo Spain
  • Received:2001-05-20 Revised:2001-11-28 Online:2002-05-18 Published:2002-05-18
  • Supported by:

    the Spanish FPI Grant(98-71701353);the DGES Grant(PB98-1534);the DGESIC Grant(PB97-1286)

Abstract: A way to extend operators in spaces of continuous functions to spaces of continuous set-valued functions is proposed. This extension is developed through the Steiner selections of the set-valued functions. Their properties and characteristics of the convergence of sequences of operators of this class are studied. In Part Ⅱ of this series some applications to approximation theory will be shown.

2010 MSC Number: 

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