Some Pareto optimality results for nonsmooth multiobjective optimization problems with equilibrium constraints | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 176، دوره 13، شماره 2، مهر 2022، صفحه 2185-2196 اصل مقاله (406.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25146.2928 | ||
| نویسندگان | ||
| Ali Ansari Ardali* 1؛ Maryam Zeinali2؛ Gholam Hassan Shirdel3 | ||
| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran | ||
| 2Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran | ||
| 3Department of Mathematics and Computer Science, University of Qom, Qom, Iran | ||
| چکیده | ||
| In this paper, we study the nonsmooth multiobjective optimization problems with equilibrium constraints (MOMPEC). First, we extend the Guignard constraint qualification for MOMPEC, and then more constraint qualifications are developed. Also, the relationships between them are investigated. Moreover, we introduce the notion of primal Pareto stationarity and some dual Pareto stationarity concepts for a feasible point of MOMPEC. Some necessary optimality conditions are derived for any Pareto optimality solution of MOMPEC under weak assumptions. Indeed, we just need the objective functions to be locally Lipschitz. Further, we indicate our defined Pareto stationarity concepts are also sufficient conditions under the generalized convexity requirements. | ||
| کلیدواژهها | ||
| Equilibrium Constraints؛ Pareto Optimality؛ Constraint Qualifications؛ Upper Convexificator؛ Nonsmooth Optimization | ||
| مراجع | ||
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