On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization. (English) Zbl 1411.49006
Existence theorems are proved for symmetric vector equilibrium problems using nonlinear scalarization methods. Sufficient conditions are found for the convexity of the solution set. Several examples are presented.
Reviewer: Tullio Zolezzi (Genova)
MSC:
| 49J21 | Existence theories for optimal control problems involving relations other than differential equations |
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
Keywords:
symmetric vector equilibrium problem; nonlinear scalarization function; generalized \(C\)-quasiconvexity; upper and lower semicontinuityReferences:
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