In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,u...In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,used new methods,the scalarization theorem and Lagrange multiplier theorem for ε-super effcient solution are established.展开更多
This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for...This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.展开更多
This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and th...This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and the constraint set in normed linear spaces. The constraint set is the set of weakly effcient solutions of vector equilibrium problem, and perturbed by the perturbation of the criterion mapping to the vector equilibrium problem.展开更多
提出了名义最佳建筑体形系数及实际最佳建筑体形系数概念并推导出相应的计算公式;分析了建筑体形系数和层高h关系的一种错误理解;提出了建筑形体系数(Building Corresponding Area Coefficient)概念并推导出实际最佳建筑形体系数的计算...提出了名义最佳建筑体形系数及实际最佳建筑体形系数概念并推导出相应的计算公式;分析了建筑体形系数和层高h关系的一种错误理解;提出了建筑形体系数(Building Corresponding Area Coefficient)概念并推导出实际最佳建筑形体系数的计算公式;通过理论及案例分析,验证了建筑形体系数替代建筑体形系数的必要性。展开更多
基金Supported by the Natural Science Foundation of the Education Department of Henan Province（2004110008）
文摘In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,used new methods,the scalarization theorem and Lagrange multiplier theorem for ε-super effcient solution are established.
基金Supported by the National Natural Science Foundation of China（10871216） Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission（KJ100419） Supported by the Natural Science Foundation Project of CQ CSTC（cstcjjA00019）
文摘This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.
基金supported by the National Natural Science Foundation of China under Grant Nos.1106102311201216and 11471291
文摘This paper establishes some suffcient conditions for the lower semicontinuity of the effcient solution mapping for the semi-infinite vector optimization problem with perturbations of both the objective function and the constraint set in normed linear spaces. The constraint set is the set of weakly effcient solutions of vector equilibrium problem, and perturbed by the perturbation of the criterion mapping to the vector equilibrium problem.
文摘提出了名义最佳建筑体形系数及实际最佳建筑体形系数概念并推导出相应的计算公式;分析了建筑体形系数和层高h关系的一种错误理解;提出了建筑形体系数(Building Corresponding Area Coefficient)概念并推导出实际最佳建筑形体系数的计算公式;通过理论及案例分析,验证了建筑形体系数替代建筑体形系数的必要性。
