| [1] |
Koopmans T C. Analysis of production as an efficient combination of activities[C]//Koopmans T C, Alchian A, Dantizg G B, Georgescu-Roegen N, Samuelson P A, Tucker A W eds.Activity Analysis of Production and Allocation Proceedings of a Conference.New York: John Wiley and Sons, 1951,13: 33-97.
|
| [2] |
Kuhn H W, Tucker A W. Nonlinear programming[C]// Proceeding of the Second Berkeley Symposium on Mathematical Statistics and Probability . Berkeley, CA: University of California Press, 1951: 481-492.
|
| [3] |
Geoffrion A M. Proper efficiency and the theory of vector maximization[J].Journal of Mathematical Analysis and Applications,1968,22(3): 618-630.
|
| [4] |
Borwein J M. Proper efficient points for maximizations with respect to cones[J].SIAM Journal on Control and Optimization,1997,15(1): 57-63.
|
| [5] |
Benson H P. An improved definition of proper efficiency for vector minimization with respect to cones[J].Journal of Mathematical Analysis and Applications,1979,71(1): 232-241.
|
| [6] |
Borwein J M, Zhuang D M. Super efficiency in convex vector optimization[J].Zeitschrift für Operations Research,1991,35(3): 175-184.
|
| [7] |
Borwein J M, Zhuang D M. Super efficiency in vector optimization[J].Transactions of the American Mathematical Society,1993,338(1): 105-122.
|
| [8] |
Lalitha C S, Arora R. proximal proper efficiency for minimisation with respect to normal cones[J].Bulletin of the Australian Mathematical Society,2005,71(2): 215-224.
|
| [9] |
Chen G Y, Rong W D. Characterizations of the Benson proper efficiency for nonconvex vector optimization[J].Journal of Optimization Theory and Applications,1998,98(2): 365-384.
|
| [10] |
YANG Xin-min. The equivalency of Borwein proper efficient and Benson proper efficient solutions[J].Mathematica Applicata,1994,7: 246-247.
|
| [11] |
彭再云, 李科科, 张石生. 向量 D-η-E -半预不变凸映射与向量优化[J]. 应用数学和力学, 2014,35(9): 1020-1032.(PENG Zai-yun, LI Ke-ke, ZHANG Shi-sheng.D-η-E -semipreinvex vector mappings and vector optimization[J].Applied Mathematics and Mechanics,2014,35(9): 1020-1032.(in Chinese))
|
| [12] |
Yang X M, Li D, Wang S Y. Near-subconvexlikeness in vector optimization with set-valued functions[J].Journal of Optimization Theory and Applications,2001,110(2): 413-427.
|
| [13] |
Li Z F, Wang S Y. Lagrange multipliers and saddle points in multiobjective programming[J].Journal of Optimization Theory and Applications,1994,83(1): 63-81.
|
| [14] |
赵勇, 彭再云, 张石生. 向量优化问题有效点集的稳定性[J]. 应用数学和力学, 2013,34(6): 643-650.(ZHAO Yong, PENG Zai-yun, ZHANG Shi-sheng. Stability of the sets of efficient points of vector-valued optimization problems[J].Applied Mathematics and Mechanics,2013,34(6): 643-650.(in Chinese))
|
| [15] |
Yang X M, Yang X Q, Chen G Y. Theorem of the alternative and optimization with set-valued maps[J].Journal of Optimization Theory and Application,2000,107(3): 627-640.
|
| [16] |
Rockafellar R T.Convex Analysis [M]. Princeton: Princeton University Press, 1970.
|
| [17] |
Clarke F H, Ledyaev Y S, Stern R J, Wolenski P R.Nonsmooth Analysis and Control Theory [M]. New York: Springer Verlag, 1998.
|
| [18] |
Sawaragi Y, Nakayama H, Tanino Tetsuzo.Theory of Multiobjective Optimization [M]. New York: Academic Press, 1985.
|
点击查看大图
下载:
