| 带约束集值均衡问题的近似Henig有效解 |
| |
| 引用本文： | 胡莎莎,徐义红,牛智超.带约束集值均衡问题的近似Henig有效解[J].应用数学,2020,33(3):800-806. |
| |
| 作者姓名： | 胡莎莎 徐义红 牛智超 |
| |
| 作者单位： | 南昌大学数学系, 江西 南昌 330031 |
| |
| 基金项目： | 国家自然科学基金项目(11961047);江西省自然科学基金项目(20192BAB201010);南昌大学科研训练项目(55001942)。 |
| |
| 摘 要： | 在Hausdorff局部凸拓扑线性空间中引进了带约束集值均衡问题近似Henig有效解的概念.在没有任何凸性假设下,利用非线性泛函建立了该解的必要和充分最优性条件.特别地,通过减弱泛函的性质建立了该解的另一充分最优性条件.
|
| 关 键 词： | 集值均衡问题 近似Henig有效解 非线性标量化 最优性条件 |
Approximate Henig Efficient Solutions of Set-ValuedEquilibrium Problems with Constraints |
| |
| HU Shasha,XU Yihong,NIU Zhichao.Approximate Henig Efficient Solutions of Set-ValuedEquilibrium Problems with Constraints[J].Mathematica Applicata,2020,33(3):800-806. |
| |
| Authors: | HU Shasha XU Yihong NIU Zhichao |
| |
| Institution: | (Department of Mathematics,Nanchang University,Nanchang 330031,China) |
| |
| Abstract: | In this paper,the concept of approximate Henig efficient solutions is introduced for setvalued equilibrium problems with constraints in locally convex Hausdorff topological vector spaces.By applying the nonlinear functional,necessary and sufficient optimality conditions for approximate Henig efficient solutions are established without any convexity assumption.In particular,another sufficient optimality condition is established by weakening the properties of functional. |
| |
| Keywords: | Set-valued equilibrium problem Approximate Henig efficient solution Nonlinear scalarzation Optimality condition |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《应用数学》浏览原始摘要信息 |
| 点击此处可从《应用数学》下载免费的PDF全文 |
