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Vietnam Journal of Mathematics 35:4(2007) 563-572  The Existence of "-Solutions to General Quasiequilibrium Problems N. X. Hai and P. Q. Khanh Abstract.  We consider three types of approximate solutions of multivalued quasiequilibrium vector problems. Sufficient conditions for the $\varepsilon$-solution existence are established for variants of such problems. Several applications are provided as examples to show that our results can imply consequences about approximate solutions of many optimization-related problems.     Keywords: Quasiequilibrium problems,$\varepsilon$-solutions, $W$-quasiconvexity relative to a set, quasivariational inequalities, quasioptimization problems.

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