On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization

@article{Uderzo2013OnLS,
  title={On Lipschitz Semicontinuity Properties of Variational Systems with Application to Parametric Optimization},
  author={A. Uderzo},
  journal={Journal of Optimization Theory and Applications},
  year={2013},
  volume={162},
  pages={47-78}
}
In this paper, two properties of recognized interest in variational analysis, known as Lipschitz lower semicontinuity and calmness, are studied with reference to a general class of variational systems, i.e. to solution mappings to parameterized generalized equations. In the consideration of the metric nature of such properties, some related sufficient conditions are established, which are expressed via nondegeneracy conditions on derivative-like objects appropriate for a metric space analysis… CONTINUE READING
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