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Optimality conditions for vector equilibrium problems with set-valued mappings and cone constraints

In: Mathematica Slovaca, vol. 65, no. 3
Adela Capătă
Detaily:
Rok, strany: 2015, 683 - 696
Kľúčové slová:
vector equilibrium problems, optimality conditions, separation theorem, cone constraints
O článku:
The purpose of this paper is to establish necessary and sufficient conditions for a point to be solution of a vector equilibrium problem with set-valued mappings and cone constraints. Using a separation theorem which involves the quasi-relative interior of a convex set, we obtain optimality conditions for solutions of the considered vector equilibrium problem. The main theorem recovers an earlier established result. Then, the results are applied to vector optimization problems and to Stampacchia vector variational inequalities with cone constraints.
Ako citovať:
ISO 690:
Capătă, A. 2015. Optimality conditions for vector equilibrium problems with set-valued mappings and cone constraints. In Mathematica Slovaca, vol. 65, no.3, pp. 683-696. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0047

APA:
Capătă, A. (2015). Optimality conditions for vector equilibrium problems with set-valued mappings and cone constraints. Mathematica Slovaca, 65(3), 683-696. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0047
O vydaní: