Some properties of pseudo P-convex functions
Copyright policy )Some properties of pseudo P-convex functions
Summary: We study some properties of pseudo \(P\)-convex functions a class of generalized convex functions, recently introduced by \textit{S. T. Hackman} and \textit{U. Passy} [J. Math. Econ. 17, No. 1, 55-68 (1988; Zbl 0649.90008)] defined in product spaces of finite dimension. In particular, we introduce some generalized monotone maps studying their relationships with the gradient of differentiable pseudo \(P\)-convex functions and a class of continuous \(P\)-connected functions that in a differentiable setting belongs to the class of pseudo \(P\)-convex functions.
gradient, Convex programming, Nonsmooth analysis, pseudo \(P\)-convex functions, generalized convex functions, Convexity of real functions of several variables, generalizations
gradient, Convex programming, Nonsmooth analysis, pseudo \(P\)-convex functions, generalized convex functions, Convexity of real functions of several variables, generalizations
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