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6  Articles
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This paper establishes an upper estimate for the Frechet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in finite dimensional spaces. Under a positive linear independence assumption on the normal vectors of... see more

In this paper we characterize the convexity and the natural quasiconvexity of locallyLipschitz vector functions via the monotonicity and the quasimonotonicity of their Mordukhovich coderivatives.

This note is a re-edited form of our presentation at the 8th Vietnam-Korea Workshop on Mathematical Optimisation Theory and Applications, December 8-10, 2011, University of Dalat, Dalat, Vietnam. It contains Borne our recent results on characterising... see more

We employ some advanced tools of variational analysis and generalised differentiation such as the nonsmooth version of Fermat's rule, the limiting sub-differential of maximum functions, and the sum rules for the Frechet and Mordukhovich sub-different... see more

The paper reflects the author's personal view on the essence of Mathematics and its impact to the modern society.

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