NEW NONLINEAR SEPARATION FUNCTIONS AND OPTIMALITY CONDITIONS FOR GENERALIZED KY FAN INEQUALITIES

被引：0

作者：

Zhang, Y. ^{[1
]}

Wang, L. ^{[1
]}

Chen, T. ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Yunnan Open Univ, Coll Publ Fdn, Kunming 650223, Yunnan, Peoples R China

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2017年 / 13卷 / 03期

关键词：

image space analysis; optimality condition; nonlinear weak (strong) separation function; generalized Ky Fan inequality; VECTOR EQUILIBRIUM PROBLEMS; CONSTRAINED EXTREMUM PROBLEMS; UNIFIED DUALITY-THEORY; IMAGE SPACE ANALYSIS; SCALARIZATION; SET;

D O I：

暂无

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, by using the Gertewitz nonlinear scalarization function, we first establish two weak separation functions and strong separation functions. Then, by virtue of the separation function, we obtain some optimality conditions for weakly efficient solution and globally efficient solution to generalized Ky Fan inequalities with constraints in the sense of image space analysis.

引用

页码：375 / 384

页数：10

共 17 条

[1] Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities
Xu, Y. D.
OPTIMIZATION LETTERS, 2016, 10 (03) : 527 - 542
[2] Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities
Y. D. Xu
Optimization Letters, 2016, 10 : 527 - 542
[3] Optimality Conditions for Generalized Ky Fan Quasi-Inequalities with Applications
Xu, Y. D.
Li, S. J.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 157 (03) : 663 - 684
[4] Optimality Conditions for Generalized Ky Fan Quasi-Inequalities with Applications
Y. D. Xu
S. J. Li
Journal of Optimization Theory and Applications, 2013, 157 : 663 - 684
[5] Gap Functions and Error Bounds for Weak Generalized Ky Fan Inequalities
Li, G. H.
Li, S. J.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (07) : 763 - 783
[6] Saddle points and gap functions for weak generalized Ky Fan inequalities
Li, G. H.
Li, S. J.
OPTIMIZATION LETTERS, 2018, 12 (06) : 1265 - 1280
[7] On global optimality conditions via separation functions
Rubinov, AM
Uderzo, A
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 109 (02) : 345 - 370
[8] Separation Functions and Optimality Conditions in Vector Optimization
You, Manxue
Li, Shengjie
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 175 (02) : 527 - 544
[9] On Global Optimality Conditions via Separation Functions
A. M. RUBINOV
A. UDERZO
Journal of Optimization Theory and Applications, 2001, 109 : 345 - 370
[10] Optimality Conditions for Extended Ky Fan Inequality with Cone and Affine Constraints and Their Applications
Capata, Adela
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 152 (03) : 661 - 674

← 1 2 →