English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For bilevel programs with a convex lower level program, the classicalapproach replaces the lower level program with its Karush-Kuhn-Tucker conditionand solve the resulting mathematical program with complementarity constraint(MPCC). It is known that when the set of lower level multipliers is not unique,MPCC may not be equivalent to the original bilevel problem, and manyMPCC-tailored constraint qualifications do not hold. In this paper, we studybilevel programs where the lower level is generalized convex. Applying theequivalent reformulation via Moreau envelope, we derive new directionaloptimality conditions. Even in the nondirectional case, the new optimalitycondition is stronger than the strong stationarity for the corresponding MPCC.

Optimality conditions for bilevel programs via Moreau envelope reformulation