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Type: Artigo de periódico
Title: A Mean Value Theorem For Metric Spaces
Author: Carvalho Neto P.M.
Liboni Filho P.A.
Abstract: We present a form of the Mean Value Theorem (MVT) for a continuous function f between metric spaces, connecting it with the possibility to choose the e{open}↦δ(e{open}) relation of f in a homeomorphic way. We also compare our formulation of the MVT with the classic one when the metric spaces are open subsets of Banach spaces. As a consequence, we derive a version of the Mean Value Propriety for measure spaces that also possesses a compatible metric structure.
Editor: Wiley-VCH Verlag
Rights: fechado
Identifier DOI: 10.1002/mana.201400058
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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