On the Existence of Solutions of Quasivariational Inclusion Problems

N. X. Tan
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N. X. Tan: Institute of Mathematics

Journal of Optimization Theory and Applications, 2004, vol. 123, issue 3, No 9, 619-638

Abstract: Abstract Quasivariational inclusion problems are formulated and sufficient conditions on the existence of solutions are shown. As special cases, we obtain several results on the existence of solutions of general vector ideal, proper, Pareto, weak quasioptimization problems, quasivariational inequalities, and vector quasiequilibrium problems. Further, we prove theorems on the existence for solutions of systems of these inclusions. As a corollary, we obtain an ideal minimax theorem concerning vector functions.

Keywords: Upper quasivariational inclusions; lower quasivariational inclusions; α quasioptimization problems; vector optimization problem; quasiequilibrium problems; upper and lower C-quasiconvex multivalued mappings; upper and lower C-continuous multivalued mappings (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10957-004-5726-z

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