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Zbl 1033.90119
Gong, X. H.
Efficiency and Henig efficiency for vector equilibrium problems. (English)
[J] J. Optimization Theory Appl. 108, No. 1, 139-154 (2001). ISSN 0022-3239; ISSN 1573-2878/e

Summary: 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.
MSC 2000:
*90C29 Multi-objective programming, etc.
90C48 Programming in abstract spaces

Keywords: scalarization; vector optimization; efficient solutions; vector-valued Hartman-Stampacchia variational inequality

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