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Vietnam Journal of Mathematics 35:4(2007) 563-572

 The Existence of ε-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 ε-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, ε-solutions, W-quasiconvexity relative to a set, quasivariational inequalities, quasioptimization problems.

 

 

 

 

 

 

 

 

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