First and Second-Order Optimality Conditions for Convex Composite Multiobjective Optimization

被引：0

作者：

X. Q. Yang

V. Jeyakumar

机构：

[1] University of Western Australia,Department of Mathematics

[2] University of New South Wales,Department of Applied Mathematics

来源：

Journal of Optimization Theory and Applications | 1997年 / 95卷

关键词：

Multiobjective optimization; nonsmooth analysis; convex analysis; sufficient optimality condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Multiobjective optimization is a useful mathematical model in order to investigate real-world problems with conflicting objectives, arising from economics, engineering, and human decision making. In this paper, a convex composite multiobjective optimization problem, subject to a closed convex constraint set, is studied. New first-order optimality conditions for a weakly efficient solution of the convex composite multiobjective optimization problem are established via scalarization. These conditions are then extended to derive second-order optimality conditions.

引用

页码：209 / 224

页数：15

共 50 条

[1] First and second-order optimality conditions for convex composite mnltiobjective optimization
Yang, XQ
Jeyakumar, V
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (01) : 209 - 224
[2] Second-order global optimality conditions for convex composite optimization
Yang, XQ
[J]. MATHEMATICAL PROGRAMMING, 1998, 81 (03) : 327 - 347
[3] Second-order global optimality conditions for convex composite optimization
XQ Yang
[J]. Mathematical Programming, 1998, 81 : 327 - 347
[4] Second-order optimality conditions in multiobjective optimization problems
Aghezzaf, B
Hachimi, M
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 102 (01) : 37 - 50
[5] Second-Order Optimality Conditions in Multiobjective Optimization Problems
B. Aghezzaf
M. Hachimi
[J]. Journal of Optimization Theory and Applications, 1999, 102 : 37 - 50
[6] On second-order optimality conditions in constrained multiobjective optimization
Bednarik, Dusan
Pastor, Karel
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (04) : 1372 - 1382
[7] Second-Order Optimality Conditions for Multiobjective Optimization Whose Order Induced by Second-Order Cone
Zhang, Li-Wei
Zhang, Ji-Hong
Zhang, Yu-Le
[J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2018, 6 (02) : 267 - 288
[8] SECOND-ORDER OPTIMALITY CONDITIONS AND DUALITY FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS
Van Luu, Do
[J]. Applied Set-Valued Analysis and Optimization, 2022, 4 (01): : 41 - 54
[9] First- and second-order optimality conditions for multiobjective fractional programming
P. Q. Khanh
L. T. Tung
[J]. TOP, 2015, 23 : 419 - 440
[10] First- and second-order optimality conditions for multiobjective fractional programming
Khanh, P. Q.
Tung, L. T.
[J]. TOP, 2015, 23 (02) : 419 - 440

← 1 2 3 4 5 →