On Lipschitz continuity of projections onto polyhedral moving sets

2019/09/30 by Bednarczuk, Ewa M., Rutkowski, Krzysztof E. · 2 citations
#47N10 #49J52 #49J53 #49K40 #90C31 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1909.13715

Abstract

In Hilbert space setting we prove local lipchitzness of projections onto parametric polyhedral sets represented as solutions to systems of inequalities and equations with parameters appearing both in left-hand-sides and right-hand-sides of the constraints. In deriving main results we assume that data are locally Lipschitz functions of parameter and the relaxed constant rank constraint qualification condition is satisfied.

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