Quasi-equilibrium Inclusion Problems of the Blum–Oettli-Type and Related Problems (Book)

Authors: Nguyễn Xuân Tấn, Lai-Jiu Lin,

https://doi.org/10.1007/978-0-387-89496-6_5

Publisher, magazine: ,

Publication year: 2010

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Abstract

The quasi-equilibrium inclusion problems of 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-quasi-optimization problems vector optimization problem, quasi-equilibrium problems upper and lower C-quasiconvex multivalued mappings upper and lower C-continuous multivalued mappings