A simplified conjugation scheme for lower semi-continuous functions

Leonardo Moreto Elias, Juan Enrique Martínez-Legaz

Type: Article

Publication Date: 2015-09-01

Citations: 3

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

Abstract

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.

Locations

Optimization - View
Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) - View - PDF

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Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Convex Functions, Monotone Operators and Differentiability	1989	R. R. Phelps
+	Generalized Convex Duality and its Economic Applicatons	2006	Juan Enrique Martínez-Legaz
+	Representation of Continuous Functions and Its Applications	2013	Wilfredo Sosa
+	An Introduction to Classical Real Analysis.	1983	Alberto Torchinsky Karl Stromberg
+	Convex analysis treated by linear programming	1973	R. J. Duffin
+	Fenchel–Moreau conjugation for lower semi-continuous functions	2011	John Cotrina Elizabeth W. Karas Ademir A. Ribeiro Wilfredo Sosa Jin Yuan
+ PDF Chat	Geometry of Lebesgue-Bochner function spaces―smoothness	1974	I. E. Leonard K. Sundaresan
+	Abstract Convexity and Global Optimization	2000	A. M. Rubinov
+	Variational Analysis	1998	R. T. Rockafellar Roger J.‐B. Wets
+	Conjugacies adapted to lower semicontinuous functions	2013	Jean‐Paul Penot