Open AccessAbout One Class of Operators Inclusions
Author(s) -
N. A. Dem’yankov,
V. S. Klimov
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2012-3-63-72
Subject(s) - mathematics , pseudo monotone operator , operator (biology) , class (philosophy) , homotopy , pure mathematics , bounded function , monotone polygon , bounded operator , integer (computer science) , set (abstract data type) , finite rank operator , discrete mathematics , operator space , banach space , mathematical analysis , computer science , biochemistry , chemistry , geometry , repressor , artificial intelligence , transcription factor , gene , programming language
The operator inclusion 0 ∈ A(x)+N(x) is studied. The main results refer to the case, when A – a bounded operator of monotone type from a reflexive space into conjugate to it, N – a conevalued operator. No solution criterion of the viewed inclusion is set up. Integer characteristics of multivalued mappings with homotopy invariance and additivity are introduced. Application to the theory of variational inequalities with multivalued operators is identified.