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On vector quasi-equilibrium problems. (English) Zbl 1069.49003
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 (ISBN 1-4020-7470-0/hbk). Nonconvex Optim. Appl. 68, 1-18 (2003).
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:
49J40Variational methods including variational inequalities
90C29Multi-objective programming; goal programming