Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization
作者： V. Jeyakumar , A. Zaffaroni
DOI: 10.1080/01630569608816697
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摘要: In this paper, we establish necessary and sufficient dual conditions for weak proper minimality of infinite dimensional vector convex programming problems without any regularity conditions. The optimality are given in asymptotic forms using epigraphs conjugate functions sub differentials, It is shown how these yield standard Lagrangian under appropriate main tool, used to obtain results, a new solvability result Motzkin type cone systems. We also provide local certain non—convex approximations
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sci-hub.se 参考文章(23)
V. Jeyakumar, Asymptotic Dual Conditions Characterizing Optimality for Infinite Convex Programs Journal of Optimization Theory and Applications. ,vol. 93, pp. 153- 165 ,(1997) , 10.1023/A:1022606002804
Johannes Jahn, Mathematical vector optimization in partially ordered linear spaces Lang. ,(1986)
Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal, Convex analysis and minimization algorithms ,(1993)
J. M. Borwein, A Lagrange multiplier theorem and a sandwich theorem for convex relations Mathematica Scandinavica. ,vol. 48, pp. 189- 204 ,(1981) , 10.7146/MATH.SCAND.A-11911
V. Jeyakumar, B.M. Glover, A new version of Farkas' lemma and global convex maximization Applied Mathematics Letters. ,vol. 6, pp. 39- 43 ,(1993) , 10.1016/0893-9659(93)90097-7
A. D. Ioffe, Necessary and Sufficient Conditions for a Local Minimum. 2: Conditions of Levitin–Miljutin–Osmolovskii Type SIAM Journal on Control and Optimization. ,vol. 17, pp. 251- 265 ,(1979) , 10.1137/0317020
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
Lionel Thibault, Subdifferentials of compactly lipschitzian vector-valued functions Annali di Matematica Pura ed Applicata. ,vol. 125, pp. 157- 192 ,(1980) , 10.1007/BF01789411
Chung-Wei Ha, On systems of convex inequalities Journal of Mathematical Analysis and Applications. ,vol. 68, pp. 25- 34 ,(1979) , 10.1016/0022-247X(79)90098-2
J. Gwinner, Corrigendum and addendum to “results of farkas type” this journal 9, 471–520 (1987) Numerical Functional Analysis and Optimization. ,vol. 10, pp. 415- 418 ,(1989) , 10.1080/01630568908816311