Math Meth Oper Res (2017) 85:521 DOI 10.1007/s00186-017-0590-4 ERRATUM Erratum to: Increasing quasiconcave co-radiant functions with applications in mathematical economics Juan Enrique Martínez-Legaz Published online: 26 July 2017 © Springer-Verlag Berlin Heidelberg 2017 Erratum to: Math Meth Oper Res (2005) 61:261–280 DOI 10.1007/s001860400405 I am grateful to Abelardo Jordán (Pontiﬁcia Universidad Católica del Perú) and Lludy Eladia Missa Franco (Universidad San Luis Gonzaga de Ica) for having kindly pointed out to me some errors, which can be corrected as follows: (1) On p. 265, the 4th and 5th lines after the displayed formula (5) should read u (λx , x ) = lim sup (u((λ + t )x )) − u(λx )) t →+0 1 λ t 1 = lim sup u y + y − u(y) = (φ ) (1) + φ (1) . y y λ t λ λ t →+0 (2) On p. 265, in the 7th line after the displayed formula (5) delete the expression “−φ (1)” appearing in the numerator of the last fraction. (3) On p. 273, replace “inverse co-radiant” by “radiant” in the second line of the statement of Theorem 15 and in lines 5 and 8–9 of the proof of this theorem. (4) On p. 278, replace “inverse co-radiantness” by “radiantness” in line 32. The online version of the original article can be found under doi:10.1007/s001860400405. B Juan Enrique Martínez-Legaz JuanEnrique.Martinez.Legaz@uab.cat Departament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
Mathematical Methods of Operations Research – Springer Journals
Published: Jul 26, 2017
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