Efficiency and Henig Efficiency for Vector Equilibrium Problems

X. H. Gong
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X. H. Gong: Nanchang University

Journal of Optimization Theory and Applications, 2001, vol. 108, issue 1, No 6, 139-154

Abstract: 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.

Keywords: vector equilibrium problems; efficiency; Henig efficiency; scalarization; existence; connectedness (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (16)

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DOI: 10.1023/A:1026418122905

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