American Journal of Industrial and Business Management
Volume 3, Issue 2 (April 2013)
ISSN Print: 2164-5167 ISSN Online: 2164-5175
Google-based Impact Factor: 2.08 Citations
Sufficient Fritz John Type Optimality Criteria and Duality for Control Problems ()
Affiliation(s)
ABSTRACT
Sufficient Fritz John optimality conditions are obtained for a control problem in which objective functional is pseudoconvex and constraint functions are quasiconvex or semi-strictly quasiconvex. A dual to the control problem is formulated using Fritz John type optimality criteria instead of Karush-Kuhn-Tucker optimality criteria and hence does not require a regularity condition. Various duality results amongst the control problem and its proposed dual are validated under suitable generalized convexity requirements. The relationship of our duality results to those of a nonlinear programming problem is also briefly outlined.
KEYWORDS
Share and Cite:
Cited by
Copyright © 2024 by authors and Scientific Research Publishing Inc.
This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.