Systems of Set-Valued Quasivariational Inclusion Problems

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

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 1, No 4, 55-67

Abstract: Abstract We propose four kinds of systems of set-valued quasivariational inclusion problems in product spaces, which include many known systems of equilibrium problems and systems of variational inequalities as well as inclusion problems. Sufficient conditions for the solution existence are established. When applied to special cases, these conditions improve many existing results in the literature. To ensure the generality of our problem setting and results, applications in fixed-point theory and quasioptimization problems are included.

Keywords: Systems of quasivariational inclusions; Equilibrium problems; Variational inequalities; Fixed points; Quasioptimization; G-quasiconvexity; G-quasiconvexlikeness (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-007-9222-0

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