On Lipschitz continuity of projections onto polyhedral moving sets

Ewa M. Bednarczuk; Krzysztof E. Rutkowski

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arXiv · 1909.13715

On Lipschitz continuity of projections onto polyhedral moving sets

Ewa M. Bednarczuk·Krzysztof E. Rutkowski

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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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Ewa M. Bednarczuk, Krzysztof E. Rutkowski. 2019-10-06. On Lipschitz continuity of projections onto polyhedral moving sets. https://arxiv.org/abs/1909.13715

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