On LICQ and the uniqueness of Lagrange multipliers

Operations Research Letters

Volumn 41, Issue 1, 2013, Pages 78-80

  Wachsmuth, Gerd ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Constraint qualification; Lagrange multiplier; Optimality conditions

Indexed keywords

CONSTRAINT QUALIFICATION; OPTIMALITY CONDITIONS;

MANAGEMENT SCIENCE; OPERATIONS RESEARCH;

LAGRANGE MULTIPLIERS;

EID: 84870672286     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2012.11.009     Document Type: Article

References (6)

1. J. Gauvin A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming Mathematical Programming 12 1 1977 136 138
2. F.J. Gould, and J.W. Tolle A necessary and sufficient qualification for constrained optimization SIAM Journal on Applied Mathematics 20 1971 164 172
3. M. Guignard Generalized Kuhn-Tucker conditions for mathematical programming in a Banach space SIAM Journal on Control and Optimization 7 2 1969 232 241
4. J. Kyparisis On uniqueness of Kuhn-Tucker multipliers in nonlinear programming Mathematical Programming 32 2 1985 242 246 (Pubitemid 15530682)
5. O.L. Mangasarian, and S. Fromovitz The Fritz John necessary optimality conditions in the presence of equality and inequality constraints Journal of Mathematical Analysis and Applications 17 1967 37 47
6. M.V. Solodov Constraint qualifications J.J. Cochran, L.A. Cox, P. Keskinocak, J.P. Kharoufeh, J.C. Smith, Wiley Encyclopedia of Operations Research and Management Science 2010 John Wiley & Sons, Inc.