BORWEIN J M, ZHUANG D. Super Efficiency in Vector Optimization[J]. Transactions of the American Mathematical Society, 1993, 338(1): 105-122. doi: 10.1090/S0002-9947-1993-1098432-5
|
BORWEIN J M, ZHUANG D M. Super Efficiency in Convex Vector Optimization[J]. Zeitschrift Für Operations Research, 1991, 35(3): 175-184.
|
仇秋生, 傅万涛. 集值映射最优化问题超有效解集的连通性[J]. 系统科学与数学, 2002, 22(1): 107-114. doi: 10.3969/j.issn.1000-0577.2002.01.013
|
张勇. 几乎C-类凸集值映射向量优化问题超有效点集的连通性[J]. 西安文理学院学报(自然科学版), 2008, 11(3): 45-48. doi: 10.3969/j.issn.1008-5564.2008.03.013
|
曹敏, 汪洋, 陈剑尘. 含约束集值映射超有效解集的连通性[J]. 数学的实践与认识, 2016, 46(23): 241-246.
|
刘富荣. 含参数集值向量优化问题有效点集的连通性研究[D]. 南昌: 南昌航空大学.
|
ZHENG X Y. Proper Efficiency in Locally Convex Topological Vector Spaces[J]. Journal of Optimization Theory and Applications, 1997, 94(2): 469-486. doi: 10.1023/A:1022648115446
|
CORLEY H W. Optimality Conditions for Maximizations of Set-Valued Functions[J]. Journal of Optimization Theory and Applications, 1988, 58(1): 1-10. doi: 10.1007/BF00939767
|
LI Z F, CHEN G Y. Lagrangian Multipliers, Saddle Points, and Duality in Vector Optimization of Set-Valued Maps[J]. Journal of Mathematical Analysis and Applications, 1997, 215(2): 297-316. doi: 10.1006/jmaa.1997.5568
|
AVRIEL M, ZANG I. Generalized Arcwise-Connected Functions and Characterizations of Local-Global Minimum Properties[J]. Journal of Optimization Theory and Applications, 1980, 32(4): 407-425. doi: 10.1007/BF00934030
|
LALITHA C S, DUTTA J, GOVIL M G. Optimality Criteria in Set-Valued Optimization[J]. Journal of the Australian Mathematical Society, 2003, 75(2): 221-232. doi: 10.1017/S1446788700003736
|
陈剑尘, 高洁. 含约束集值优化问题Henig有效解集的连通性[J]. 南昌航空大学学报(自然科学版), 2012, 26(3): 22-27.
|
HIRIART-URRUTY J B. Images of Connected Sets by Semicontinuous Multifunctions[J]. Journal of Mathematical Analysis and Applications, 1985, 111(2): 407-422. doi: 10.1016/0022-247X(85)90225-2
|
ERWIN K, THOMPSON A C. Theory of Correspondences[M]. New York: Wiley, 1984.
|
徐登洲. 拓扑线性空间[M]. 兰州: 兰州大学出版社, 1987.
|
熊金城. 点集拓扑讲义[M]. 4版. 北京: 高等教育出版社, 2011.
|
KLEIN E, THOMPSON A C. Theory of Correspondences: Including Applications to Mathematical Economics[M]. New York: Wiley, 1984.
|
FERRO F. Optimization and Stability Results through Cone Lower Semicontinuity[J]. Set-Valued Analysis, 1997, 5(4): 365-375. doi: 10.1023/A:1008653120360
|
MUSELLI E. Upper and Lower Semicontinuity for Set-Valued Mappings Involving Constraints[J]. Journal of Optimization Theory and Applications, 2000, 106(3): 527-550. doi: 10.1023/A:1004653312019
|