Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results

TERAN PEDRO; L PEZ-D1AZ MIGUEL

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TERAN PEDRO, L PEZ-D1AZ MIGUEL. Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results[J]. Applied Mathematics and Mechanics, 2002, 23(5): 507-517.

Citation:

TERAN PEDRO, L PEZ-D1AZ MIGUEL. Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results[J]. Applied Mathematics and Mechanics, 2002, 23(5): 507-517.

Citation:

TERAN PEDRO, L PEZ-D1AZ MIGUEL. Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results[J]. Applied Mathematics and Mechanics, 2002, 23(5): 507-517.

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Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results

Facultad de Ciencias, Universidad de Oviedo, C/Calvo Sotelo, s/n 33007 Oviedo Spain

Received Date: 2001-05-20
Rev Recd Date: 2001-11-28
Publish Date: 2002-05-15

Abstract

Abstract

A way to extend operators in spaces of continuo us functions to spaces of continuo us set-valued functions is proposed.This extension is developed through the Steiner selections of the set-valued functions.Their properties and chara cteristics of the convergence of sequences of operators of this class are studied.In Part ò of this series some applications to approximation theory will be shown.
- set-valued extension,
- steiner selection,
- operator

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References(7)

References

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