title: A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results.
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.
authors: Program in Mathematics, Faculty of Education, Pibulsongkram Rajabhat University, Phitsanulok, 65000 Thailand.
authors: Pakkapon
authors: 0000-0003-2826-2742
authors: P
authors: Preechasilp
authors: Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000 Thailand.
authors: Rabian
authors: R
authors: Wangkeeree
keywords: Barrier cone; Equilibrium problem; Pseudomonotone mappings; Stability analysis