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A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via
Pakkapon Preechasilp1, Rabian Wangkeeree2
1Program in Mathematics, Faculty of Education, Pibulsongkram Rajabhat University, Phitsanulok, 65000 Thailand.
Abstract:
In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé-Kuratowski upper convergence of solution set is also discussed as an application, when both the objective mapping and the constraint set are perturbed by difference parameters.
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