Convexifactors, generalized convexity and vector optimization

In this article we study a recently introduced notion of non-smooth analysis, namely convexifactors. We study some properties of the convexifactors and introduce two new chain rules. A new notion of non-smooth pseudoconvex function is introduced and its properties are studied in terms of convexifact...

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Bibliographic Details
Published inOptimization Vol. 53; no. 1; pp. 77 - 94
Main Authors Dutta, J., Chandra, S.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.02.2004
Subjects
Convex analysis
Convex approximation
Convexifactor
Generalized convex functions
Mathematics Subject Classifications 2000: 26B25
Non-smooth analysis
Vector optimization
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ISSN0233-1934
1029-4945
DOI10.1080/02331930410001661505

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Summary:In this article we study a recently introduced notion of non-smooth analysis, namely convexifactors. We study some properties of the convexifactors and introduce two new chain rules. A new notion of non-smooth pseudoconvex function is introduced and its properties are studied in terms of convexifactors. We also present some optimality conditions for vector minimization in terms of convexifactors.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331930410001661505