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What is invexity with respect to the same \(\eta\)? (English) Zbl 1179.26047

Summary: Many papers on both scalar and multiobjective optimization problems use the assumption that the objective and constraint functions are invex with respect to the same function \(n\). In this note we characterize the finite families of functions for which this condition holds.

MSC:

26B25 Convexity of real functions of several variables, generalizations
90C26 Nonconvex programming, global optimization
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