First-Order Necessary Conditions of Optimality for Strongly Monotone Nonlinear Control Problems

M.D. Voisei
Additional contact information
M.D. Voisei: Ohio University

Journal of Optimization Theory and Applications, 2003, vol. 116, issue 2, No 11, 436 pages

Abstract: Abstract Necessary conditions for the optimality of a pair (y*, u*) with respect to the cost functional g(y) + h(u) subject to Ay∋Bu + f are given in terms of generalized gradients. Here, g is locally Lipschitz, h is convex, A is a maximal strongly monotone operator, and B is linear. Two examples of applications of our necessary conditions to nonlinear partial differential equations of elliptic type are presented.

Keywords: Nonlinear programming; elliptic equations; generalized gradient; optimal control (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1023/A:1022470323635 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:116:y:2003:i:2:d:10.1023_a:1022470323635

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1023/A:1022470323635

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().