Duality for vector equilibrium problems with constraints

Document Type : Research Paper


Department of Optimization and System Theory‎, ‎University of Science‎, ‎Vietnam National University Hochiminh City‎, ‎227 Nguyen Van Cu‎, ‎District 5‎, ‎Hochiminh City‎, ‎Vietnam.


‎In the paper‎, ‎we study duality for vector equilibrium problems using a concept of generalized convexity in dealing with the quasi-relative interior‎. ‎Then‎, ‎their applications to optimality conditions for quasi-relative efficient solutions are obtained‎. ‎Our results are extensions of several existing ones in the literature when the ordering cones in both the objective space and the constraint space have possibly empty interior.


Main Subjects

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