Constraint Qualifications and Proper Pareto Optimality Conditions for Multiobjective Problems with Equilibrium Constraints
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In this paper, we consider a class of multiobjective problems with equilibrium constraints. Our first task is to extend the existing constraint qualifications for mathematical problems with equilibrium constraints from the single-objective case to the multiobjective case, and our second task is to derive some stationarity conditions under the proper Pareto sense for the considered problem. After doing that, we devote ourselves to investigating the relationships among the extended constraint qualifications and the proper Pareto stationarity conditions.
KeywordsMultiobjective problem with equilibrium constraints Constraint qualification Proper Pareto stationarity condition
Mathematics Subject Classification90C29 90C33 90C46
This work was supported in part by NSFC (Nos. 11671250, 11431004, 11601458), HKBU Grants (Nos. FRG1/16-17/007, FRG2/16-17/101, RC-NACAN-ZHANG J), and Humanity and Social Science Foundation of Ministry of Education of China (No. 15YJA630034).
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