Existence of Solutions to General Quasiequilibrium Problems and Applications

N. X. Hai and P. Q. Khanh ()
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N. X. Hai: Posts and Telecommunications Institute of Technology of Vietnam
P. Q. Khanh: International University at Hochiminh City

Journal of Optimization Theory and Applications, 2007, vol. 133, issue 3, No 3, 317-327

Abstract: Abstract A general quasiequilibrium problem is proposed including, among others, equilibrium problems, implicit variational inequalities, and quasivariational inequalities involving multifunctions. Sufficient conditions for the existence of solutions with and without relaxed pseudomonotonicity are established. Even semicontinuity may not be imposed. These conditions improve several recent results in the literature.

Keywords: Quasiequilibrium problems; Quasivariational inequalities; 0-level-quasiconcavity; Upper semicontinuity; KKM–Fan theorem (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10957-007-9170-8

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