Connectivity of efficient solution sets in vector optimization of set-valued mappings
作者： Song. Wen
DOI: 10.1080/02331939708844267
关键词:
摘要: In this note, the connectivity of efficient solution set and some proper sets in vector optimization for set-valued mappings are discussed under weak conditions
sci-hub.se 参考文章(30)
Richard B. Holmes, Geometric Functional Analysis and its Applications ,(1975)
Mark Grigorievich Krein, None, Linear operators leaving invariant a cone in a Banach space Amer. Math. Soc. Transl. Ser. I. ,vol. 10, pp. 199- 325 ,(1950)
Ivar Ekeland, Jean Pierre Aubin, Applied Nonlinear Analysis ,(1984)
Johannes Jahn, Mathematical vector optimization in partially ordered linear spaces Lang. ,(1986)
J.-B Hiriart-Urruty, Images of connected sets by semicontinuous multifunctions Journal of Mathematical Analysis and Applications. ,vol. 111, pp. 407- 422 ,(1985) , 10.1016/0022-247X(85)90225-2
X. H. Gong, Connectedness of efficient solution sets for set-valued maps in normed spaces Journal of Optimization Theory and Applications. ,vol. 83, pp. 83- 96 ,(1994) , 10.1007/BF02191763
A. R. Warburton, Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives Journal of Optimization Theory and Applications. ,vol. 40, pp. 537- 557 ,(1983) , 10.1007/BF00933970
P. L. Yu, Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives Journal of Optimization Theory and Applications. ,vol. 14, pp. 319- 377 ,(1974) , 10.1007/BF00932614
Gong Xunhua, Connectedness of the efficient solution set of a convex vector optimization in normed spaces Nonlinear Analysis-theory Methods & Applications. ,vol. 23, pp. 1105- 1114 ,(1994) , 10.1016/0362-546X(94)90095-7
Richard J. Gallagher, Ossama A. Saleh, Two generalizations of a theorem of Arrow, Barankin, and Blackwell Siam Journal on Control and Optimization. ,vol. 31, pp. 247- 256 ,(1993) , 10.1137/0331015