A simplified conjugation scheme for lower semi-continuous functions |
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| Authors: | Leonardo M. Elias |
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| Affiliation: | 1. Programa de Pós-Gradua??o em Matemática, Universidade Federal do Paraná, Curitiba, Brazil.;2. CAPES Foundation, Ministry of Education of Brazil, Brasília, Brazil. |
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| 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. |
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| Keywords: | lower semi-continuous function generalized convex conjugation optimization duality theory |
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