Weak stationarity: Eliminating the gap between necessary and sufficient conditions

被引：18

作者：

Kruger, A ^{[1
]}

机构：

[1] Univ Ballarat, Sch Informat Technol & Math Sci, Ctr Informat & Appl Optimizat, Ballarat, Vic 3350, Australia

来源：

OPTIMIZATION | 2004年 / 53卷 / 02期

关键词：

nonsmooth analysis; subdifferentials; normal cones; optimality conditions; set-valued mappings; asplund spaces;

D O I：

10.1080/02331930410001695292

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：

Starting from known necessary extremality conditions in terms of strict subdifferentials and normals the notion of weak stationarity is introduced. It is defined in terms of initial space elements. The necessary conditions become necessary and sufficient (for stationarity).

引用

页码：147 / 164

页数：18

共 50 条

[1] NECESSARY AND SUFFICIENT CONDITIONS FOR WEAK INVARIANCE
KHRUSTALEV, MM
[J]. AUTOMATION AND REMOTE CONTROL, 1968, (04) : 540 - +
[2] NECESSARY AND SUFFICIENT CONDITIONS FOR WEAK LOCAL MINIMUM
LUDERER, B
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1977, 57 (JUL): : 369 - 372
[3] NECESSARY AND SUFFICIENT CONDITIONS FOR GAP-BIFURCATION
KUPPER, T
STUART, CA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (09) : 893 - 903
[4] NECESSARY AND SUFFICIENT CONDITIONS OF WEAK CONVERGENCE OF STOCHASTIC-PROCESSES
BORODIKHIN, VM
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (02) : 364 - 366
[5] Necessary and sufficient conditions for weak convergence of smoothed empirical processes
Radulovic, D
Wegkamp, M
[J]. STATISTICS & PROBABILITY LETTERS, 2003, 61 (03) : 321 - 336
[6] Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints
Mokhtavayi, Hadis
Heydari, Aghileh
Kanzi, Nader
[J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2021, 9 (02): : 347 - 357
[7] CLOSING THE GAP BETWEEN NECESSARY AND SUFFICIENT CONDITIONS FOR LOCAL NONGLOBAL MINIMIZER OF TRUST REGION SUBPROBLEM
Wang, Jiulin
Xia, Yong
[J]. SIAM JOURNAL ON OPTIMIZATION, 2020, 30 (03) : 1980 - 1995
[8] Necessary and sufficient conditions for weak no-arbitrage in securities markets with frictions
Deng, XT
Li, ZF
Wang, SY
Yang, HL
[J]. ANNALS OF OPERATIONS RESEARCH, 2005, 133 (1-4) : 265 - 276
[9] Necessary and Sufficient Conditions for Weak Separability Problem for Homogeneous Utility Functions
Shananin, A. A.
Tarasov, S. P.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (04) : 507 - 512
[10] Necessary and Sufficient Conditions for Weak No-Arbitrage in Securities Markets with Frictions
Xiaotie Deng
Zhong Fei Li
Shouyang Wang
Hailiang Yang
[J]. Annals of Operations Research, 2005, 133 : 265 - 276

← 1 2 3 4 5 →