On the existence of solutions of quasivariational inclusion problems
https://doi.org/10.1007/s10957-004-5726-zPublisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: 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
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