English

Bilevel Optimization and Variational Analysis

Optimization and Control 2019-07-16 v1

Abstract

This chapter presents a self-contained approach of variational analysis and generalized differentiation to deriving necessary optimality in problems of 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.

Keywords

Cite

@article{arxiv.1907.06140,
  title  = {Bilevel Optimization and Variational Analysis},
  author = {Boris S. Mordukhovich},
  journal= {arXiv preprint arXiv:1907.06140},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-23T10:20:24.129Z