Necessary Efficiency Conditions for Vector Equilibrium Problems with General Inequality Constraints via Convexificators
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This paper presents Karush–Kuhn–Tucker necessary conditions for efficient and weak efficient solutions of nonsmooth vector equilibrium problems with general inequality constraints under some metric regularity type conditions in terms of convexificators.
KeywordsKarush–Kuhn–Tucker necessary conditions Vector equilibrium problems General inequality constraints Metric regularity Convexificators
AMS Subject Classification90C46 91B50 90C29 49J52
The author thanks the referees for their valuable comments and suggestions. This research was supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.01-2017.301.
- Giannessi, F., Mastroeni, G., Pellegrini, L.: On the theory of vector optimization and variational inequalities, image space analysis and separation. In: Giannessi, F. (ed.) Vector variational inequalities and vector equilibria: mathematical theories, pp. 153–215. Kluwer, Dordrecht (2000)CrossRefGoogle Scholar