p-regularity theory. Applications and developments

2018/11/12 by Bednarczuk, Ewa, Prusińska, Agnieszka, Tret'yakov, Alexey
#49K02 #65K10 #90C02 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1811.04974

Abstract

We present recent advances in the analysis of constrained optimization problems with constraints given by singular mappings obtained within the framework of the p-regularity theory developed over the last twenty years. In particular, we address the problem of description of the tangent cone to the solution set of the optimality conditions and solution methods for optimization problems.

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