On the stability of the solution sets of general multivalued vector quasiequilibrium problems

Authors: Lâm Quốc Anh, Phan Quốc Khánh,

https://doi.org/10.1007/s10957-007-9250-9

Publisher, magazine: ,

Publication year: 2007

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Abstract

We give sufficient conditions for the semicontinuity of solution sets of general multivalued vector quasiequilibrium problems. All kinds of semicontinuities are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity, and closedness. Moreover, we investigate the weak, middle, and strong solutions of quasiequilibrium problems. Many examples are provided to give more insights and comparisons with recent existing results.

Tags: quasiequilibrium problems; lower, upper and Hausdorff upper semicontinuity; closedness of solution multifunctions; quasivariational inequalities