H空间中的向量极小极大定理
MINIMAX THEOREMS FOR VECTOR-VALUED FUNCTIONS ON H-SPACES
摘要
在H空间中,证明数值函数与向量值函数的极小极大定理,推广了一些已知的重要结果。
Minimax theorems for real-valued and vector-valued functions on H spaces are obtained.Some well-known results are generalized.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2003年第1期1-4,共4页
Journal of Nanchang University(Natural Science)
基金
江西省自然科学基金资助项目(0211035)
参考文献20
-
1Li Z F, Wang S Y. A Type of minimax Inequality for Vector - valued Mappings [ J ]. J Optim Theory Appl,1998,227:68 - 82.
-
2Chen G Y. A Generalized Section Theorem and a minimax Inequality for a Vector - valued Mapping[J ]. Optimization, 1991,22:745 - 754.
-
3Horvath C. Some Results on Multivalued Mappings and Inequalities Without Convexity, in "Nonlinear and Convex Analysis" [ M ]. Lecture Notes in Pure and Appl. Math Series, Vol, 107, Springer - Verlag, 1987.
-
4Bardaro C, Ceppitelli R. Some Further Generalizations of Knaster- Kuratowski- Mazurkiewicz Theorem and Minimax Inequalities[ J ]. J Math Anal Appl, 1988, 132:484- 490.
-
5Bardaro C, Ceppitelli R. Applications of the Generalized Knaster- Kuratowski - Mazurkiewicz Theorem to Variational Inequalities[J]. 1989,137 ;46 - 58.
-
6Barbu V, Precupanu Th. Convexity and Optimization in Banach Spaces [ M ]. Sijthoff and Norrdhoff, Bucuresti,Romania, 1978.
-
7Jahn J. Mathematical Vector Optimization in Partially Ordered Linear Spaces [ M ]. Peter Lang, Frankfurt, Germany, 1986.
-
8Berge C. Topological Spaces[ M]. Oliver & Boyd LTD,Edinburgh and London, 1963.
-
9Von Neumann J. Zur Theorie der Gesellshaftsphiele[ J ].Math Ann, 1928,100: 295 - 320.
-
10Fan K. Minimax Theorem[J]. Proc Nat Acad Sd, 1953,39:42 - 47.
-
1王金林.局部凸空间中的压缩映射[J].南昌航空工业学院学报,1999,13(4):22-24.
-
2李建湘,马英红.消去图、覆盖图和均匀图的若干结果[J].高校应用数学学报（A辑）,2002,17(2):230-236. 被引量：2
-
3王其华,钱景忠.图的(g,t)-因子分解[J].数学物理学报（A辑）,1992,12(S1):96-98.
-
4李经文.一类算子及其中算子的谱[J].吉首大学学报,1990,11(6):17-22.
-
5王庆明,宋玉梅.基于改进遗传算法的函数优化及其性能分析[J].机械设计与制造,2007(2):52-54. 被引量：4
-
6赵君大.论欧氏环上的整数值函数[J].龙岩学院学报,1984,0(1):27-30.
-
7江慎铭.FC一空间内的极小极大定理[J].南昌航空大学学报（自然科学版）,2008,22(1):31-34.
-
8白玉娟,刘坤.一种新序下二元凸模糊数值函数的判定定理[J].德州学院学报,2015,31(4):21-23.
-
9邓建国.讨论《希尔伯特空间》[J].数学学习与研究,2015,0(21):129-129.
-
10王刚,杨荣,梁亚宁.一类不可微优化问题的最优性必要条件[J].试验技术与试验机,1996,36(3):152-153.
