Titlebook: Generalized Convexity, Generalized Monotonicity and Applications; Proceedings of the 7 Andrew Eberhard,Nicolas Hadjisavvas,Dinh The Luc Con

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https://doi.org/10.1007/978-3-030-84417-2d an affine function with a set constraint in addition to inequality and equality constraints. The results extend classical fractional programming duality by allowing for a set constraint involving a convex set that is not necessarily open or closed.

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Second Order Subdifferentials Constructed Using Integral Convolutions Smoothingated second order directional derivative is demanded this forces the first order subdifferential to possess a local Lipschitz property. To enable the study of a broader classes of nonsmooth functions we show that a combination of the infimal and integral convolutions needs to be used when constructing approximating smooth functions.

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