Existence and stability of solutions for generalized strong vector quasi-equilibrium problem

Authors:
Xian-Jun Long;Nan-Jing Huang;Kok-Lay Teo
Affiliations:
Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;Department of Mathematics and Statistics, Curtin University of Technology, Perth W.A. 6102, Australia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

Citing 13
Cited 3

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Abstract

In this paper, 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.