Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems

Authors: Lâm Quốc Anh, Phan Quốc Khánh,

https://doi.org/10.1016/j.jmaa.2004.03.014

Publisher, magazine: ,

Publication year: 2004

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Abstract

In this paper we establish sufficient conditions for the solution set of parametric multivalued vector quasiequilibrium problems to be semicontinuous. All kinds of semicontinuity are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity and closedness. Moreover, we investigate both the “weak” and “strong” solutions of quasiequilibrium problems.

Tags: Quasiequilibrium problems; Lower semicontinuity; Upper semicontinuity; Hausdorff upper semicontinuity; Closedness of the solution multifunction; Variational inequalities