On estimates for solutions of systems of convex inequalities

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. © 2015, Pleiades Publishing, Ltd.

Number of issue
9
Language
English
Pages
1444-1450
Status
Published
Volume
55
Year
2015
Organizations
  • 1 Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 119198, Russian Federation
Keywords
convex functions; estimates for distances to a set; systems of convex inequalities
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4509/
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