Constraint Qualifications and Proper Pareto Optimality Conditions for Multiobjective Problems with Equilibrium Constraints

Peng Zhang (), Jin Zhang (), Gui-Hua Lin () and Xinmin Yang ()
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Peng Zhang: Shanghai University
Jin Zhang: Hong Kong Baptist University
Gui-Hua Lin: Shanghai University
Xinmin Yang: Chongqing Normal University

Journal of Optimization Theory and Applications, 2018, vol. 176, issue 3, No 13, 763-782

Abstract: Abstract 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.

Keywords: Multiobjective problem with equilibrium constraints; Constraint qualification; Proper Pareto stationarity condition; 90C29; 90C33; 90C46 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-018-1235-3

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