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Carathéodory-John–type sufficiency criteria in continuous-time nonlinear programming under generalized \((\alpha,\rho)-(\eta,\theta)-\)type I invexity. (English) Zbl 1289.90205
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.

MSC:
90C30 Nonlinear programming
90C46 Optimality conditions and duality in mathematical programming
90C48 Programming in abstract spaces
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