SECOND-ORDER WEAK SUBDIFFERENTIALS OF VECTOR-VALUED MAPS AND ITS APPLICATIONS TO OPTIMALITY CONDITIONS

被引：0

作者：

Wang, Qilin ^{[1
]}

Zhang, Yunsong ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 08期

关键词：

Second-order weak subdifferentials; weakly efficient solutions; optimal- ity conditions; vector optimization problems; OPTIMIZATION; CALCULUS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new second-order weak subdifferential of nonconvex vector-valued maps by means of scalarization and discuss some of its properties. By virtue of the second-order weak subdifferential of vector-valued maps, we establish necessary optimality conditions and sufficient optimality conditions for weakly efficient solutions of unconstrained vector optimization problems and unconstrained composite vector optimization problems, respectively. Some examples are given to illustrate the main results obtained.

引用

页码：1853 / 1865

页数：13

共 50 条

[41] Necessary conditions of optimality for vector-valued impulsive control problems
Pereira, FL
Silva, GN
SYSTEMS & CONTROL LETTERS, 2000, 40 (03) : 205 - 215
[42] On a Conjecture in Second-Order Optimality Conditions
Behling, Roger
Haeser, Gabriel
Ramos, Alberto
Viana, Daiana S.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 176 (03) : 625 - 633
[43] On a Conjecture in Second-Order Optimality Conditions
Roger Behling
Gabriel Haeser
Alberto Ramos
Daiana S. Viana
Journal of Optimization Theory and Applications, 2018, 176 : 625 - 633
[44] Simplified optimality conditions for minimizing the difference of vector-valued functions
Flores-Bazán, F
Oettli, W
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 108 (03) : 571 - 586
[45] First and second order necessary optimality conditions for a discrete-time optimal control problem with a vector-valued objective function
Gorokhovik, Valentin V.
Gorokhovik, Svetlana Ya
Marinkovic, Boban
POSITIVITY, 2013, 17 (03) : 483 - 500
[46] Second-Order Optimality Conditions for Strict Pareto Minima and Weak Efficiency for Nonsmooth Constrained Vector Equilibrium Problems
Tran Van Su
Do Van Luu
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (15) : 1732 - 1759
[47] First and second order necessary optimality conditions for a discrete-time optimal control problem with a vector-valued objective function
Valentin V. Gorokhovik
Svetlana Ya. Gorokhovik
Boban Marinković
Positivity, 2013, 17 : 483 - 500
[48] ALTERNATIVE PROOFS FOR SOME RESULTS OF VECTOR-VALUED FUNCTIONS ASSOCIATED WITH SECOND-ORDER CONE
Chen, Jein-Shan
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2005, 6 (02) : 297 - 325
[49] Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications
Nguyen Dinh Tuan
Positivity, 2018, 22 : 159 - 190
[50] Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications
Nguyen Dinh Tuan
POSITIVITY, 2018, 22 (01) : 159 - 190

← 1 2 3 4 5 →