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Zbl 1143.90387
Li, S.J.; Teo, K.L.; Yang, X.Q.
Vector equilibrium problems with elastic demands and capacity constraints.
(English)
[J] J. Glob. Optim. 37, No. 4, 647-660 (2007). ISSN 0925-5001; ISSN 1573-2916/e

The authors study a vector network equilibrium problem with capacity constraints and elasticity demands. They use a particular nonconvex separation functional (called Gerstewitz's functional) to scalarize the problem and prove an equivalence between the vector problems and the scalarized ones. It is to note that Gerstewitz's functional is known also as the smallest monotonic function in the literature, and it can be found in earlier works by {\it A. M. Rubinov} [Sib. Mat. Zh. 17, 370--380 (1976; Zbl 0331.46013)] or by {\it A. Pascoletti} and {\it P. Serafini} [J. Optimization Theory Appl. 42, 499--524 (1984; Zbl 0505.90072)].
[Dinh The Luc (Avignon)]
MSC 2000:
*90C29 Multi-objective programming, etc.
90C47 Minimax problems

Keywords: vector equilibrium; vector quasi-variational inequalities; scalarization

Citations: Zbl 0331.46013; Zbl 0505.90072

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