Continuous-time optimization problems involving invex functions
Copyright policy )Continuous-time optimization problems involving invex functions
The authors study continuous-time nonlinear programming problem and show that the notion of Karush-Kuhn-Tucker (KKT) invexity, introduced by \textit{D. H. Martin} [J. Optimization Theory Appl. 47, 65--76 (1985; Zbl 0552.90077)] is a necessary and sufficient condition for a global optimality of a KKT point. It is also proved that Martins notion of weak duality invexity is a necessary and sufficient condition for weak duality.
- State University of Campinas Brazil
Invexity, Applied Mathematics, weak duality, Continuous-time nonlinear programming, KKT-conditions, Weak duality, Nonconvex programming, global optimization, invexity, continuous-time nonlinear programming, global optimality, Nonlinear programming, Global optimality, Optimality conditions and duality in mathematical programming, Analysis
Invexity, Applied Mathematics, weak duality, Continuous-time nonlinear programming, KKT-conditions, Weak duality, Nonconvex programming, global optimization, invexity, continuous-time nonlinear programming, global optimality, Nonlinear programming, Global optimality, Optimality conditions and duality in mathematical programming, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).13 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!