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G-coupling functions: The Infinite Dimensional case

Published 18 Oct 2012 in math.OC | (1210.6078v1)

Abstract: In this work we present a class of functions, motivated by gap functions, which we call G-coupling functions. We will show that these functions can generate a duality scheme for minimization problems by means of the general conjugation theory. Thanks to this scheme, a Lagrange-type function is introduced as well.

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