17 citations · 148 across the 28 of their papers we have counts for
5 papers · 1 filter
Metric Regularity of Quasidifferentiable Mappings and Optimality Conditions for Nonsmooth Mathematical Programming Problems
M. V. Dolgopolik
This article is devoted to the analysis of necessary and/or sufficient conditions for metric regularity in terms of Demyanov-Rubinov-Polyakova quasidifferentials. We obtain new nec…
Speed-Gradient Control of the Brockett Integrator
M. V. Dolgopolik, A. L. Fradkov
A nonsmooth extension of the speed-gradient algorithms in finite form is proposed. The conditions ensuring control goal (convergence of the goal function to zero) are established.…
Abstract convex approximations of nonsmooth functions
M. V. Dolgopolik
In this article we utilise abstract convexity theory in order to unify and generalize many different concepts from nonsmooth analysis. We introduce the concepts of abstract codiffe…
New global optimality conditions for nonsmooth DC optimization problems
M. V. Dolgopolik
In this article we propose a new approach to an analysis of DC optimization problems. This approach was largely inspired by codifferential calculus and the method of codifferential…
A convergence analysis of the method of codifferential descent
M. V. Dolgopolik
This paper is devoted to a detailed convergence analysis of the method of codifferential descent (MCD) developed by professor V.F. Demyanov for solving a large class of nonsmooth n…