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Second-order global optimality conditions for convex composite optimization (1995)
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BibTeX
@MISC{Yang95second-orderglobal,
author = {X. Q. Yang},
title = {Second-order global optimality conditions for convex composite optimization},
year = {1995}
}
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Abstract
In recent years second-order sufficient conditions of an isolated local minimizer for convex composite optimization problems have been established. In this paper, second-order optimal-ity conditions are obtained of a global minimizer for convex composite problems with a non-finite valued convex function and a twice strictly differentiable function by introducing a generalized representation condition. This result is applied to a minimization problem with a closed convex set constraint which is shown to satisfy the basic onstraint qualification. In particular, second-order necessary and sufficient conditions of a solution for a variational inequality problem with convex composite inequality constraints are obtained. © 1998 The
Keyphrases
second-order global optimality condition convex composite optimization convex function second-order optimal-ity condition basic onstraint qualification minimization problem closed convex recent year second-order sufficient condition sufficient condition convex composite optimization problem convex composite problem convex composite inequality constraint generalized representation condition global minimizer isolated local minimizer variational inequality problem differentiable function
