Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems
https://doi.org/10.1080/01630560701873068Publisher, magazine: ,
Publication year: 2008
Lưu Trích dẫn Chia sẻAbstract
The authors study the set of approximate solutions to multivalued quasi-equilibrium problems in a rather general setting. They derive sufficient conditions for lower/upper semicontinuity and Hausdorff lower/upper semicontinuity of these solution sets. Two types of \(\varepsilon\)-solutions are considered. Quasi-variational inequalities, fixed point problems and quasi-optimization problems are discussed as special cases.
Tags: closedness of multifunctions; \(\varepsilon\)-fixed points; \(\varepsilon\)-quasi-optimization problems; \(\varepsilon\)-solutions; Hausdorff lower and upper semicontinuity; lower and upper semicontinuity; quasi-equilibrium problems; quasi-variational inequalities
Các bài viết liên quan đến tác giả Lâm Quốc Anh
Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems
On the stability of the solution sets of general multivalued vector quasiequilibrium problems
Existence conditions in symmetric multivalued vector quasiequilibrium problems
On the Holder continuity of solutions to parametric multivalued vector equilibrium problems
Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
Continuity of solution maps of parametric quasiequilibrium problems