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Bilevel Optimization and Variational Analysis

In: Bilevel Optimization

Author

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  • Boris S. Mordukhovich

    (Wayne State University)

Abstract

This chapter presents a self-contained approach of variational analysis and generalized differentiation to deriving necessary optimality conditions in bilevel optimization with Lipschitzian data. We mainly concentrate on optimistic models, although the developed machinery also applies to pessimistic versions. Some open problems are posed and discussed.

Suggested Citation

  • Boris S. Mordukhovich, 2020. "Bilevel Optimization and Variational Analysis," Springer Optimization and Its Applications, in: Stephan Dempe & Alain Zemkoho (ed.), Bilevel Optimization, chapter 0, pages 197-226, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-52119-6_7
    DOI: 10.1007/978-3-030-52119-6_7
    as

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