Semicontinuity of the Approximate Solution Sets of Multivalued Quasiequilibrium Problems
Lâm Quốc Anh, Phan Quốc Khánh · Numerical Functional Analysis and Optimization · 2008
We consider two kinds of approximate solutions and approximate solution sets to multivalued quasiequilibrium problems. Sufficient conditions for the lower semicontinuity, Hausdorff lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity, and closedness of these approximate solution sets are established. Applications in approximate quasivariational inequalities, approximate fixed points, and approximate quasioptimization problems are provided.