Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems

Authors: Lâm Quốc Anh, Phan Quốc Khánh,

https://doi.org/10.1007/s10898-007-9264-8

Publisher, magazine: ,

Publication year: 2008

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Abstract

The authors study various quasi-equilibrium problems involving set-valued maps in infinite dimensional spaces. They introduce some new kinds of continuity for set-valued maps and establish these properties for the solution sets, in particular Hausdorff upper and lower semicontinuity and continuity with respect to a partially ordering cone are also addressed.

Tags: generalized vector quasi-equilibrium; upper and lower semicontinuities; Hausdorff continuity