Efficiency and Henig Efficiency for Vector Equilibrium Problems |
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| Authors: | Gong X H |
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| Institution: | (1) Department of Mathematics, Nanchang University, Nanchang, China |
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| Abstract: | We introduce the concept of Henig efficiency for vector equilibrium problems, and extend scalarization results from vector optimization problems to vector equilibrium problems. Using these scalarization results, we discuss the existence of the efficient solutions and the connectedness of the set of Henig efficient solutions to the vector-valued Hartman–Stampacchia variational inequality. |
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| Keywords: | vector equilibrium problems efficiency Henig efficiency scalarization existence connectedness |
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