7 papers
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…
Connection between subdifferentials and codifferentials. Constructing the continuous codifferentials. I
I. M. Proudnikov
In the article the author is studying the twice codifferentiable functions, defined by Prof. V.Ph. Demyanov, and some methods for calculating their codifferentials. At the beginnin…
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 necessary and sufficient conditions for representing Lipschitz multivariable function as a difference of two convex functions
Igor Proudnikov
In the article the necessary and sufficient conditions for a representation of Lipschitz function of more than two variables as a difference of two convex functions are formulated.…
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…