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Vietnam Journal of Mathematics 35:4(2007)
563-572
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The Existence of ε-Solutions to
General Quasiequilibrium Problems
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N. X. Hai and P. Q.
Khanh
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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.
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Keywords: Quasiequilibrium problems, ε-solutions,
W-quasiconvexity relative to a
set, quasivariational inequalities, quasioptimization problems.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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