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Zbl 1189.90189
Li, S.J.; Zhao, P.
A method of duality for a mixed vector equilibrium problem. (English)
[J] Optim. Lett. 4, No. 1, 85-96 (2010). ISSN 1862-4472; ISSN 1862-4480/e

The authors develop the conjugate duality theory for mixed vector equilibrium problems in a Hausdorff vector space setting. These problems involve two vector functions. Being based on the previous results from scalar equilibrium problems, vector optimization, and vector variational inequalities, the authors define conjugate dual problems and present a sufficient condition which provides an analogue of the duality relationship between solutions.
[Igor V. Konnov (Kazan)]
MSC 2000:
*90C46 Optimality conditions, duality
90C29 Multi-objective programming, etc.
90C33 Complementarity problems

Keywords: vector equilibrium problems; conjugate duality; duality solution relationship

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