Generalizations of the Kuhn-Tucker optimality conditions are given, as are the fundamental theorems having to do with their necessity and sufficiency.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Peterson, E. L.,Geometric Programming, SIAM Review, Vol. 18, pp. 1–51, 1976.
Halkin, H., andNeustadt, L. W.,General Necessary Conditions for Optimization Problems, Proceedings of the National Academy of Sciences, Vol. 29, pp. 422–435, 1966.
Guignard, M.,Generalized Kuhn-Tucker Conditions for Mathematical Programming Problems in Banach Space, SIAM Journal on Control, Vol. 7, pp. 232–241, 1969.
Luenberger, D. L.,Optimization by Vector Space Methods, John Wiley and Sons, New York, New York, 1969.
Neustadt, L. W.,A General Theory of Extremals, Journal of Computer Systems and Science, Vol. 3, pp. 12–65, 1969.
Holmes, R. B.,A Course on Optimization and Best Approximation, Springer-Verlag, Heidelberg, Germany, 1972.
Bazarra, M., andGoode, W.,Necessary Optimality Criteria in Mathematical Programming in the Presence of Differentiability, Journal of Mathematical Analysis and Applications, Vol. 40, pp. 16–23, 1972.
Luenberger, D. L.,Introduction to Linear and Nonlinear Programming, Addison-Wesley Publishing Company, Reading, Massachusetts, 1973.
Peterson, E. L.,Lagrangian Saddle Points and Duality in Generalized Geometric Programming, Journal of Optimization Theory and Applications, Vol. 26, No. 1, 1978.
This research was sponsored by the Air Force Office of Scientific Research, Air Force Systems Command, USAF, under Grant No. AFOSR-73-2516.
Communicated by M. Avriel
About this article
Cite this article
Peterson, E.L. Optimality conditions in generalized geometric programming. J Optim Theory Appl 26, 3–13 (1978). https://doi.org/10.1007/BF00933267
- Optimality conditions
- geometric programming
- nonlinear programming
- ordinary programming
- Kuhn-Tucker conditions