an:05241271
Zbl 1171.90521
Long, Xian-Jun; Huang, Nan-Jing; Teo, Kok-Lay
Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
EN
Math. Comput. Modelling 47, No. 3-4, 445-451 (2008).
00216004
2008
j
90C29 90C47
vector quasi-equilibrium problem; set-valued mapping; existence of solutions; stability; Kakutani-Fan-Glicksberg fixed point theorem
Summary: We study the generalized strong vector quasi-equilibrium problem without assuming that the dual of the ordering cone has a weak\(^{*}\) compact base. We establish an existence theorem of solutions for the generalized strong vector quasi-equilibrium problem by using Kakutani-Fan-Glicksberg fixed point theorem and discuss the closedness of the strong solution set. Moreover, we also derive a stability result for this problem.