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Zbl 1069.49003
Ansari, Qamrul Hasan; Yao, Jen-Chih
On vector quasi-equilibrium problems. (English)
[A] Daniele, Patrizia (ed.) et al., Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000. Boston, MA: Kluwer Academic Publishers. Nonconvex Optim. Appl. 68, 1-18 (2003). ISBN 1-4020-7470-0/hbk

Summary: In this paper, we consider the vector quasi-equilibrium problem and prove some existence results for its solution with or without generalized pseudomonotonicity assumption. As consequences of our results, we also derive some existence results for a solution to the vector quasi-optimization problem, vector quasi-saddle point problem and vector quasi-variational inequality problem.

MSC 2000:: *49J40 Variational methods including variational inequalities
90C29 Multi-objective programming, etc.

Keywords: fixed-point; one-person game; pseudomonotonicity; quasi-optimization; vector quasi-saddle point; vector quasi-variational inequality problem

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