Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85564
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
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84923012991&partnerID=40&md5=65b042edf23c7e38983e3e107e4809a2
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
2-s2.0-84923012991.pdf258.19 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.