Quasi-equilibrium inclusion problems of the Blum-Oettli type and related problems

Authors: Lai-Jiu Lin, Nguyễn Xuân Tấn,

http://journals.math.ac.vn/acta/pdf/0901111.pdf

Publisher, magazine: ,

Publication year: 2009

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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.

Tags: Upper and lower quasivariational inclusions, inclusions, α quasioptimization problems, vector optimization problem, quasi-equilibrium problems, upper and lower C-quasiconvex multivalued mappings, upper and lower C- continuous multivalued mappings.