5 papers · 1 filter
Nash equilibrium points and their finding for nonsmooth case
Igor Proudnikov
The purpose of this paper is to develop a numerical method for finding an equilibrium point in a model, in which the loss function of each object (subject) is described by a convex…
Conditions for representation of a function of many arguments as the difference of convex functions
Igor Proudnikov
There are given conditions for represention of a function of many arguments as the difference of convex functions.
The subdifferentials of the first and second orders for Lipschitz functions
I. M Proudnikov
Construction of an united theory of the subdifferentials of the first and second orders is interesting for many specialists in optimization \cite{morduchrockafel}. In the paper the…
Equivalent substitution in the control theory
Igor Proudnikov
In this paper we study a problem of looking for an optimal solution of a system of the differential equations with a control and an optimized function. The system of differential e…
The Necessary and Sufficient Conditions for Representing Lipschitz Bivariate Functions as a Difference of Two Convex Functions(corrected)
Igor Proudnikov
In the article the necessary and sufficient conditions for a representation of Lipschitz function of two variables as a difference of two convex functions are formulated. An algori…