We prove new theorems which describe a necessary and sufficient condition for linear (strong and non-strong) separability and inseparability of the sets in a finite-dimensional Euclidean space. We propose a universal measure ...

© 2019, Springer Science+Business Media, LLC, part of Springer Nature. We present a novel fully adaptive conditional gradient method with the step length regulation for solving pseudo-convex constrained optimization problems. ...

© 2014, Springer-Verlag Berlin Heidelberg. The purpose of the paper is to establish the conditions which are necessary and sufficient for the cones of generalized (strong, strict) support vectors of a set in a finite-dimensional ...

© Published under licence by IOP Publishing Ltd.We study the variational inequalities closely connected with the linear separation problem of the convex polyhedrain the Euclidean space. For solving of these inequalities, ...