Geodesic
On estimates for solutions of systems of convex inequalities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 9, pp. 1486-1492 
A. V. Arutyunov; S. E. Zhukovskiy. On estimates for solutions of systems of convex inequalities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 9, pp. 1486-1492. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The distance from a given point to the solution set of a system of strict and nonstrict inequalities described by convex functions is estimated. As consequences, estimates for the distance from a given point to the Lebesgue set of a convex function are obtained and sufficient conditions for convex-valued set-valued mappings to be covering are established.

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