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Efficiency and Henig Efficiency for Vector Equilibrium Problems

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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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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, China

    X. H. Gong (Professor)

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  1. X. H. Gong
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Gong, X.H. Efficiency and Henig Efficiency for Vector Equilibrium Problems. Journal of Optimization Theory and Applications 108, 139–154 (2001). https://doi.org/10.1023/A:1026418122905

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