First- and second-order optimality conditions for multiobjective fractional programming

被引：9

作者：

Khanh, P. Q. ^{[1
]}

Tung, L. T. ^{[2
]}

机构：

[1] Vietnam Natl Univ Hochiminh City, Int Univ, Dept Math, Hochiminh City, Vietnam

[2] Cantho Univ, Dept Math, Coll Nat Sci, Can Tho, Vietnam

来源：

TOP | 2015年 / 23卷 / 02期

关键词：

Multiobjective fractional programming; First and second-order approximations; Weak solutions; Firm solutions; Optimality conditions; Asymptotical pointwise compactness; DUALITY; APPROXIMATIONS; OPTIMIZATION;

D O I：

10.1007/s11750-014-0347-7

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：

We consider nonsmooth multiobjective fractional programming on normed spaces. Using first- and second-order approximations as generalized derivatives, first- and second-order optimality conditions are established. Unlike the existing results, we avoid completely convexity assumptions. Our results can be applied even in infinite-dimensional cases, involving non-Lipschitz maps.

引用

页码：419 / 440

页数：22

共 28 条

[1] [Anonymous], 1982, Journal of Operations Research
[2] Necessary conditions in multiobjective optimization with equilibrium constraints
Bao, T. Q.
Gupta, P.
Mordukhovich, B. S.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 135 (02) : 179 - 203
[3] OPTIMALITY CONDITIONS AND DUALITY IN SUBDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL-PROGRAMMING
BECTOR, CR
CHANDRA, S
HUSAIN, I
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 79 (01) : 105 - 125
[4] FRACTIONAL PROGRAMMING WITHOUT DIFFERENTIABILITY
BORWEIN, JM
[J]. MATHEMATICAL PROGRAMMING, 1976, 11 (03) : 283 - 290
[5] Duality in fractional programming problems with set constraints
Cambini, R
Carosi, L
Schaible, S
[J]. GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS, 2005, 77 : 147 - +
[6] Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity
Chinchuluun, Altannar
Yuan, Dehui
Pardalos, Panos M.
[J]. ANNALS OF OPERATIONS RESEARCH, 2007, 154 (01) : 133 - 147
[7] On fractional programming containing support functions
Husain I.
Jabeen Z.
[J]. Journal of Applied Mathematics and Computing, 2005, 18 (1-2) : 361 - 376
[8] APPROXIMATIONS AND METRIC REGULARITY IN MATHEMATICAL-PROGRAMMING IN BANACH-SPACE
JOURANI, A
THIBAULT, L
[J]. MATHEMATICS OF OPERATIONS RESEARCH, 1993, 18 (02) : 390 - 401
[9] Khanh PQ, 2011, J CONVEX ANAL, V18, P897
[10] Khanh PQ, 2009, J CONVEX ANAL, V16, P169

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