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On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization

In: Constructive Nonsmooth Analysis and Related Topics

Author

Listed:
  • A. Uderzo

    (Università di Milano-Bicocca)

Abstract

Lipschitz lower semicontinuity is a quantitative stability property for set-valued maps with relevant applications to perturbation analysis of optimization problems. The present paper reports on an attempt of studying such property, by starting with a related result valid for variational systems in metric spaces. Elements of nonsmooth analysis are subsequently employed to express and apply such result and its consequences in more structured settings. This approach leads to obtain a solvability, stability, and sensitivity condition for perturbed optimization problems with quasidifferentiable data.

Suggested Citation

  • A. Uderzo, 2014. "On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization," Springer Optimization and Its Applications, in: Vladimir F. Demyanov & Panos M. Pardalos & Mikhail Batsyn (ed.), Constructive Nonsmooth Analysis and Related Topics, edition 127, pages 115-136, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-8615-2_8
    DOI: 10.1007/978-1-4614-8615-2_8
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