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Optimality criteria in nonlinear programming involving nonconvex functions. (English) Zbl 0553.90086
A new class of functions, called η-convex, η-quasiconvex and η-pseudoconvex, are defined and a number of sufficient optimality criteria are obtained for nonlinear programming problems involving these functions.
MSC:
90C30Nonlinear programming
26B25Convexity and generalizations (several real variables)
90C55Methods of successive quadratic programming type
49K10Free problems in several independent variables (optimality conditions)