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| THEOREMS OF THE ALTERNATIVE FOR CONE-CONVEX SET-VALUED MAPPING | |
| 引用本文： | 梅家骝. THEOREMS OF THE ALTERNATIVE FOR CONE-CONVEX SET-VALUED MAPPING[J]. 高校应用数学学报(A辑), 1992, 0(1) |
| 作者姓名： | 梅家骝 |
| 作者单位： | Department of |
| 基金项目： | Project supported by the Natural Science Foundation of Jiangxi Province,China |
| 摘 要： | Let S be a nonempty convex subset in Rn, Aj be a nonempty convex cone in Rjm , the set-valued mapping fj: S Rjm be Aj convex and dom(fj) riS , ( j = 1,2,3,4); g, S Rt be linear and dom (fj) riS . In this paper, we discuss the theorems of the alternative for the systems:Gordan type and some other type alternative theorems for cone-convex set-valued mapping are derived also by using above results. |
THEOREMS OF THE ALTERNATIVE FOR CONE-CONVEX SET-VALUED MAPPING |
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| Mei Jialiu. THEOREMS OF THE ALTERNATIVE FOR CONE-CONVEX SET-VALUED MAPPING[J]. Applied Mathematics A Journal of Chinese Universities, 1992, 0(1) | |
| Authors: | Mei Jialiu |
| Abstract: | Let S be a nonempty convex subset in Rn, Aj be a nonempty convex cone in Rjm , the set-valued mapping fj: S Rjm be Aj convex and dom(fj) riS , ( j = 1,2,3,4); g, S Rt be linear and dom (fj) riS . In this paper, we discuss the theorems of the alternative for the systems:Gordan type and some other type alternative theorems for cone-convex set-valued mapping are derived also by using above results. |
| Keywords: | Cone Ordering Cone-convex Set-valued Mapping Alternative. |
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