期刊名称：American Journal of Industrial and Business Management
印刷版ISSN：2164-5167
电子版ISSN：2164-5175
出版年度：2013
卷号：3
期号：2
页码：237-244
DOI：10.4236/ajibm.2013.32029
出版社：Scientific Research Publishing
摘要：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.
关键词：Sufficient Optimality Criteria; Control Problem; Fritz John Type Dual; Nonlinear Programming Problem; Generalized Convexity
