Optimality conditions for DC vector optimization problems under reverse convex constraints

被引:19
作者
Gadhi, N
Laghdir, M
Metrane, A
机构
[1] Fac Sci Dhar Mahraz, Dept Math & Informat, Fes, Morocco
[2] Fac Sci, Dept Math, El Jadida, Morocco
[3] GERAD, Montreal, PQ H3C 3A7, Canada
[4] Ecole Polytech, Montreal, PQ H3C 3A7, Canada
关键词
convex mapping; DC mapping; global weak minimal solution; optimality condition; reverse convex; subdifferential;
D O I
10.1007/s10898-004-8318-4
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we establish global necessary and sufficient optimality conditions for D.C. vector optimization problems under reverse convex constraints. An application to vector fractional mathematical programming is also given.
引用
收藏
页码:527 / 540
页数:14
相关论文
共 31 条
[1]  
ALAOUI AE, 1996, ANN SCI MATH QUEBEC, V20, P1
[2]  
Amahroq T, 1997, Optimization, V41, P159
[3]  
CILIGOTTRAVAIN M, 1947, NUMERICAL FUNCTIONAL, V15, P689
[4]  
Clarke FH, 1983, OPTIMIZATION NONSMOO
[5]  
Combari C, 1994, Ann. Sci. Math. Quebec, V18, P119
[6]   A CHARACTERIZATION OF PROPER MINIMAL POINTS AS SOLUTIONS OF SUBLINEAR OPTIMIZATION PROBLEMS [J].
DAUER, JP ;
SALEH, OA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 178 (01) :227-246
[7]   Simplified optimality conditions for minimizing the difference of vector-valued functions [J].
Flores-Bazán, F ;
Oettli, W .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 108 (03) :571-586
[8]  
GADHI N, IN PRESS J GLOBAL OP
[9]  
Gol'shtein EG., 1971, Duality Theory in Mathematical Programming and Its Applications
[10]  
Hiriart-Urruty J. B., 1979, Mathematics of Operations Research, V4, P79, DOI 10.1287/moor.4.1.79