{"_id":"kcNrybRNNkvkHG4c4","bibbaseid":"guo-lin-notesonsomeconstraintqualicationsformathematicalprogramswithequilibriumconstraints-2013","author_short":["Guo, L.","Lin, G."],"bibdata":{"bibtype":"article","type":"article","title":"Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints","abstract":"We study the constraint qualifications for mathematical programs with equilibrium constraints (MPEC). Firstly, we investigate the weakest constraint qualifications for the Bouligand and Mordukhovich stationarities for MPEC. Then, we show that the MPEC relaxed constant positive linear dependence condition can ensure any locally optimal solution to be Mordukhovich stationary. Finally, we give the relations among the existing MPEC constraint qualifications.","language":"en","journal":"J Optim Theory Appl","author":[{"propositions":[],"lastnames":["Guo"],"firstnames":["Lei"],"suffixes":[]},{"propositions":[],"lastnames":["Lin"],"firstnames":["Gui-Hua"],"suffixes":[]}],"year":"2013","keywords":"/unread, ❓ Multiple DOI","pages":"17","bibtex":"@article{guo_notes_2013,\n\ttitle = {Notes on {Some} {Constraint} {Qualifications} for {Mathematical} {Programs} with {Equilibrium} {Constraints}},\n\tabstract = {We study the constraint qualifications for mathematical programs with equilibrium constraints (MPEC). Firstly, we investigate the weakest constraint qualifications for the Bouligand and Mordukhovich stationarities for MPEC. Then, we show that the MPEC relaxed constant positive linear dependence condition can ensure any locally optimal solution to be Mordukhovich stationary. Finally, we give the relations among the existing MPEC constraint qualifications.},\n\tlanguage = {en},\n\tjournal = {J Optim Theory Appl},\n\tauthor = {Guo, Lei and Lin, Gui-Hua},\n\tyear = {2013},\n\tkeywords = {/unread, ❓ Multiple DOI},\n\tpages = {17},\n}\n\n","author_short":["Guo, L.","Lin, G."],"key":"guo_notes_2013","id":"guo_notes_2013","bibbaseid":"guo-lin-notesonsomeconstraintqualicationsformathematicalprogramswithequilibriumconstraints-2013","role":"author","urls":{},"keyword":["/unread","❓ Multiple DOI"],"metadata":{"authorlinks":{}},"html":""},"bibtype":"article","biburl":"https://bibbase.org/zotero/victorjhu","dataSources":["CmHEoydhafhbkXXt5"],"keywords":["/unread","❓ multiple doi"],"search_terms":["notes","constraint","quali","cations","mathematical","programs","equilibrium","constraints","guo","lin"],"title":"Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints","year":2013}