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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| Published in | Optimization Vol. 53; no. 5-6; pp. 529 - 547 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Taylor & Francis Group
01.10.2004
Taylor & Francis LLC |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0233-1934 1029-4945 |
| DOI | 10.1080/02331930412331324878 |
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| Abstract | 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). |
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| AbstractList | 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). 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). [PUBLICATION ABSTRACT] |
| Author | Rubinov, A.M. Martínez-Legaz, J.E. Dutta, J. |
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| Cites_doi | 10.1007/978-1-4757-3200-9 10.1080/02331939108843691 10.1080/02331930310001634425 10.1080/02331930410001684654 |
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| References | bib1 Singer I (bib6) 1997 Rubinov AM (bib4) 2000 bib5 Martínez-Legaz JE (bib2) 2005; 61 bib3 |
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| SubjectTerms | Abstract convexity ICAR function Mathematical analysis Mathematics Subject Classification 2000: 26E35 Monotonic analysis Studies |
| Title | Monotonic analysis over cones: II |
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