Chi tiết| Tên | On the existence of solutions to Pareto and weak quasivariational inclusion problems |
| Lĩnh vực | Toán học |
| Tác giả | Bùi Thế Hùng, Nguyễn Xuân Tấn |
| Nhà xuất bản / Tạp chí | Advances in Nonlinear Variational Inequalities Tập 15 Số 2 Năm 2012 |
| Số hiệu ISSN/ISBN | Advances in Nonlinear Variational Inequalities |
| Tóm tắt nội dung | |
In this paper, we apply a version of Kakutani's fixed point theorem to study Pareto and weak quasivariational inclusion problems. Some sufficient conditions on the existence of solutions of Pareto and weak quasivariational inclusion problems with multivalued mappings are shown. As special cases, we obtain several results on the existence of solutions to Pareto and weak quasi-equilibrium problems, Pareto and weak quasi-optimization problems. |
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