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

Nguyen Xuan Tan () and Lai-Jiu Lin ()
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Nguyen Xuan Tan: Institute of Mathematics
Lai-Jiu Lin: National Changhua University of Education

A chapter in Optimization and Optimal Control, 2010, pp 105-119 from Springer

Abstract: Summary 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.

Keywords: 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 (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-89496-6_5

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DOI: 10.1007/978-0-387-89496-6_5

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