Monotonic analysis over cones: III

J. Dutta; J. E. Martínez-Legaz; A. M. Rubinov

Monotonic analysis over cones: III

J. Dutta, J. E. Martínez-Legaz, A. M. Rubinov

Departament d'Economia i d'Història Econòmica

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14 Cites (Scopus)

Resum

This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with an order relation which agrees with the conic structure. In particular, a representation of ICR functions as abstract convex functions is provided. This representation suggests the introduction of some polarity notions between sets. The relationship between ICR functions and increasing positively homogeneous functions is also shown.

Idioma original	Anglès
Pàgines (de-a)	561-579
Revista	Journal of Convex Analysis
Volum	15
Número	3
Estat de la publicació	Publicada - 7 d’ag. 2008

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@article{11b7552261b34d06bcf942938ecee570,

title = "Monotonic analysis over cones: III",

abstract = "This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with an order relation which agrees with the conic structure. In particular, a representation of ICR functions as abstract convex functions is provided. This representation suggests the introduction of some polarity notions between sets. The relationship between ICR functions and increasing positively homogeneous functions is also shown.",

keywords = "Abstract convexity, Co-normal sets, Co-radiant sets, ICR functions, Monotonic analysis, Normal sets, Radiant sets",

author = "J. Dutta and Mart{\'i}nez-Legaz, {J. E.} and Rubinov, {A. M.}",

year = "2008",

month = aug,

day = "7",

language = "English",

volume = "15",

pages = "561--579",

journal = "Journal of Convex Analysis",

issn = "0944-6532",

publisher = "Heldermann Verlag",

number = "3",

}

TY - JOUR

T1 - Monotonic analysis over cones: III

AU - Dutta, J.

AU - Martínez-Legaz, J. E.

AU - Rubinov, A. M.

PY - 2008/8/7

Y1 - 2008/8/7

N2 - This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with an order relation which agrees with the conic structure. In particular, a representation of ICR functions as abstract convex functions is provided. This representation suggests the introduction of some polarity notions between sets. The relationship between ICR functions and increasing positively homogeneous functions is also shown.

AB - This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with an order relation which agrees with the conic structure. In particular, a representation of ICR functions as abstract convex functions is provided. This representation suggests the introduction of some polarity notions between sets. The relationship between ICR functions and increasing positively homogeneous functions is also shown.

KW - Abstract convexity

KW - Co-normal sets

KW - Co-radiant sets

KW - ICR functions

KW - Monotonic analysis

KW - Normal sets

KW - Radiant sets

M3 - Article

SN - 0944-6532

VL - 15

SP - 561

EP - 579

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

IS - 3

ER -

Monotonic analysis over cones: III

Resum

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