Open AccessSufficient condition for pseudo-lipschitzian continuity of a family of equalities and inequalities
Author(s) -
Л. И. Минченко,
О. Ф. Борисенко
Publication year - 2019
Publication title -
vescì nacyânalʹnaj akadèmìì navuk belarusì. seryâ fìzìka-matèmatyčnyh navuk
Language(s) - English
Resource type - Journals
eISSN - 2524-2415
pISSN - 1561-2430
DOI - 10.29235/1561-2430-2019-55-3-283-287
Subject(s) - lipschitz continuity , mathematics , inequality , parametric statistics , constant (computer programming) , pure mathematics , absolute continuity , calculus (dental) , mathematical analysis , computer science , statistics , programming language , medicine , dentistry
We study the Lipschitz-like properties of multivalued mappings defined by functional parametric equalities and inequalities. Sufficient conditions of pseudo-Lipschitzian continuity are obtained on the basе of the regularity condition of the relaxed constant positive linear dependence (RCPLD) by Andreani et al. The results of the article generalize some known sufficient conditions for pseudo-Lipschitzian continuity of the systems of parametric equalities and inequalities.