Characterization of Lipschitz Continuous Difference of Convex Functions

A. Hantoute; J. E. Martínez-Legaz

doi:10.1007/s10957-013-0291-y

Characterization of Lipschitz Continuous Difference of Convex Functions

A. Hantoute, J. E. Martínez-Legaz

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the ε-subdifferentials of the involved functions. © 2013 Springer Science+Business Media New York.

Original language	English
Pages (from-to)	673-680
Journal	Journal of Optimization Theory and Applications
Volume	159
Issue number	3
DOIs	https://doi.org/10.1007/s10957-013-0291-y
Publication status	Published - 1 Dec 2013

Keywords

ε-subdifferential
DC functions
Integration formulas
Lipschitz continuity

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10.1007/s10957-013-0291-y

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title = "Characterization of Lipschitz Continuous Difference of Convex Functions",

abstract = "We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the ε-subdifferentials of the involved functions. {\textcopyright} 2013 Springer Science+Business Media New York.",

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AU - Martínez-Legaz, J. E.

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AB - We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the ε-subdifferentials of the involved functions. © 2013 Springer Science+Business Media New York.

KW - ε-subdifferential

KW - DC functions

KW - Integration formulas

KW - Lipschitz continuity

U2 - 10.1007/s10957-013-0291-y

DO - 10.1007/s10957-013-0291-y

M3 - Article

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VL - 159

SP - 673

EP - 680

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Characterization of Lipschitz Continuous Difference of Convex Functions

Abstract

Keywords

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