Fritz John Necessary Optimality Conditions of the Alternative-Type

被引：7

作者：

Flores-Bazan, Fabian ^{[1
]}

机构：

[1] Univ Concepcion, Dept Ingn Matemat, CI2MA, Concepcion, Chile

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 161卷 / 03期

关键词：

Nonlinear programming; Fritz John conditions; KKT conditions; ELEMENTARY PROOF; THEOREM;

D O I：

10.1007/s10957-013-0456-8

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：

An alternative-type version of the Fritz John optimality conditions is established at points not necessarily optimal, which covers situations where no result appearing elsewhere is applicable. As a by-product, a versatile formulation of these necessary Fritz John optimality conditions along with a simple proof is provided. This encompasses several versions appearing in the literature. A variant of the KKT conditions is also presented.

引用

页码：807 / 818

页数：12

共 50 条

[21] NECESSARY CONDITIONS OF OPTIMALITY IN SYSTEMS WITH DISTRIBUTED PARAMETERS AND INEQUALITY TYPE CONSTRAINTS
MANSIMOV, KB
[J]. IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1976, (03): : 113 - 116
[22] NECESSARY CONDITIONS FOR OPTIMALITY ON A SURFACE OF DISCONTINUITY OF A CERTAIN TYPE IN A DIFFERENTIAL GAME
MELIKYAN, AA
[J]. ENGINEERING CYBERNETICS, 1981, 19 (04): : 7 - 15
[23] Solving III-Posed Optimal Power Flow Problems Via Fritz-John Optimality Conditions
Almeida, Katia C.
Kocholik, Aline
[J]. IEEE TRANSACTIONS ON POWER SYSTEMS, 2016, 31 (06) : 4913 - 4922
[24] Fritz-John optimality and duality for non-convex programs
Lyall, V
Suneja, SK
Aggarwal, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (01) : 38 - 50
[25] ON SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY
MESSERLI, EJ
POLAK, E
[J]. SIAM JOURNAL ON CONTROL, 1969, 7 (02): : 272 - &
[26] NECESSARY CONDITIONS FOR EPSILON-OPTIMALITY
LORIDAN, P
[J]. MATHEMATICAL PROGRAMMING STUDY, 1982, 19 (AUG): : 140 - 152
[27] NECESSARY CONDITIONS FOR OPTIMALITY IN A BANACH SPACE
ROGAK, ED
SCOTTTHO.JF
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (01) : 44 - 53
[28] Necessary optimality conditions for switching systems
Bortakovskii, A. S.
[J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2021, 27 (02): : 67 - 78
[29] Necessary optimality conditions for control problems
Egorov, YV
[J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 1999, 6 (02) : 174 - 193
[30] Necessary optimality conditions for singular controls
Yusubov Sh.Sh.
[J]. Computational Mathematics and Mathematical Physics, 2007, 47 (9) : 1446 - 1451

← 1 2 3 4 5 →