Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

  • S. K. Mishra
  • Shouyang Wang
  • Kin Keung Lai

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)883-891
Journal / PublicationJournal of Systems Science and Complexity
Volume24
Issue number5
Publication statusPublished - Oct 2011

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-80053503702&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(0c4719bc-d742-4f37-9fc0-4c0010b0de6e).html

Abstract

This paper extends the class of generalized type I functions introduced by Aghezzaf and Hachimi(2000) to the context of higher-order case and formulate a number of higher-order duals to a non-differentiable multi-objective programming problem and establishes higher-order duality results under the higher-order generalized type I functions introduced in the present paper. A special case that appears repeatedly in the literature is that the support function is the square root of a positive semi-definite quadratic form. This and other special cases can be readily generated from these results. © 2011 Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg.

Research Area(s)

  • Generalized convexity, higher order duality, non-differentiable nonlinear programming, support function

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High-order Keyphrases
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Generalized Type Keyphrases
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Associated Function... Keyphrases
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Multi-objective Pro... Keyphrases
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Nondifferentiable m... Keyphrases
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Type-I Functions Keyphrases
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Higher Order Dualit... Keyphrases
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Class Mathematics
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Order Mathematics
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Programming Problem Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions. / Mishra, S. K.; Wang, Shouyang; Lai, Kin Keung.
In: Journal of Systems Science and Complexity, Vol. 24, No. 5, 10.2011, p. 883-891.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review