A simplified conjugation scheme for lower semi-continuous functions

Leonardo M. Elias; Juan E. Martínez-Legaz

doi:https://doi.org/10.1080/02331934.2015.1080700

A simplified conjugation scheme for lower semi-continuous functions

Leonardo M. Elias, Juan E. Martínez-Legaz

Department of Economics and Economic History

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

2 Citations (Scopus)

Abstract

© 2015 Taylor & Francis. We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions.

Original language	English
Pages (from-to)	751-763
Journal	Optimization
Volume	65
Issue number	4
DOIs	https://doi.org/10.1080/02331934.2015.1080700
Publication status	Published - 2 Apr 2016

Keywords

generalized convex conjugation
lower semi-continuous function
optimization duality theory

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AB - © 2015 Taylor & Francis. We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions.

KW - generalized convex conjugation

KW - lower semi-continuous function

KW - optimization duality theory

U2 - https://doi.org/10.1080/02331934.2015.1080700

DO - https://doi.org/10.1080/02331934.2015.1080700

M3 - Article

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VL - 65

SP - 751

EP - 763

JO - Optimization

JF - Optimization

IS - 4

ER -

A simplified conjugation scheme for lower semi-continuous functions

Abstract

Keywords

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