Acta Mathematica Vietnamica
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QUASI-EQUILIBRIUM INCLUSION PROBLEMS OF THE BLUM-OETTLI TYPE AND RELATED PROBLEMS
LAI-JIU LIN, NGUYEN XUAN TANpp. 111-123
Abstract
Several quasi-equilibrium inclusion problems of the Blum-Oettli type 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 (resp. proper, Pareto, weak) quasi-optimization problems, of quasivariational inequalities, and of quasivariational inclusion problems.