Stancu, Andreea Mădălina; Stancu-Minasian, I. M. Carathéodory-John–type sufficiency criteria in continuous-time nonlinear programming under generalized \((\alpha,\rho)-(\eta,\theta)-\)type I invexity. (English) Zbl 1289.90205 Math. Rep., Bucur. 14(64), No. 4, 345-354 (2012). Summary: We introduce the class of \((\alpha,\rho)-(\eta,\theta)-\)pesudo strictly pseudo-type I invexity functions. We establish Carathéodory-John–type sufficient optimality conditions for a continuous-time nonlinear programming problem with nonlinear operator equality and inequality constraints under generalized \((\alpha,\rho)-(\eta,\theta)-\)type I invexity conditions. Cited in 1 Document MSC: 90C30 Nonlinear programming 90C46 Optimality conditions and duality in mathematical programming 90C48 Programming in abstract spaces Keywords:\((\alpha,\rho)-(\eta,\theta)-\)type I invexity; continuous-time nonlinear programming; optimality conditions PDF BibTeX XML Cite \textit{A. M. Stancu} and \textit{I. M. Stancu-Minasian}, Math. Rep., Buchar. 14(64), No. 4, 345--354 (2012; Zbl 1289.90205)