Monotonic analysis over cones: II

In this article, we study the class of increasing and convex along rays (ICAR) functions over a cone. Apart from studying its basic properties, we study them from the point of view of Abstract Convexity. Further, we study the relation between the ICAR and Lipschitz functions and the properties under...

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Bibliographic Details
Published inOptimization Vol. 53; no. 5-6; pp. 529 - 547
Main Authors Dutta, J., Martínez-Legaz, J.E., Rubinov, A.M.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.10.2004
Taylor & Francis LLC
Subjects
Abstract convexity
ICAR function
Mathematical analysis
Mathematics Subject Classification 2000: 26E35
Monotonic analysis
Studies
Online AccessGet full text
ISSN0233-1934
1029-4945
DOI10.1080/02331930412331324878

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Summary:In this article, we study the class of increasing and convex along rays (ICAR) functions over a cone. Apart from studying its basic properties, we study them from the point of view of Abstract Convexity. Further, we study the relation between the ICAR and Lipschitz functions and the properties under which an ICAR function has a Lipschitz behaviour. We also study the class of decreasing and convex along rays functions (DCAR).
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331930412331324878