Perturbation Functions and Dual Problems

Radu Ioan Boţ ()
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Radu Ioan Boţ: Chemnitz University of Technology

Chapter Chapter I in Conjugate Duality in Convex Optimization, 2010, pp 9-33 from Springer

Abstract: Abstract The starting point of our investigations is a general approach for constructing a dual optimization problem to a primal one based on the theory of conjugate functions. Consider X a separated locally convex space and $$F : X \rightarrow \overline{\mathbb{R}} = \mathbb{R} \cup \{\pm \infty \}$$ a given function. We assume that F is proper, namely that F(x)>−∞ for all x∈X and its domain $${\rm dom}F =\{ x \in X : F(x)

Keywords: Convex Function; Regularity Condition; Dual Problem; Lower Semicontinuous; Dual Pair (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-642-04900-2_2

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DOI: 10.1007/978-3-642-04900-2_2

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