Photo from wikipedia
This paper is devoted to the study of the topological dimension of the set of solutions of the operator inclusion of the form $A(x)\in\lambda F(x)$ , where A is a… Click to show full abstract
This paper is devoted to the study of the topological dimension of the set of solutions of the operator inclusion of the form $A(x)\in\lambda F(x)$ , where A is a bounded linear surjective operator, and F is a multi-valued Lipschitz map with closed convex images. The resulting theorem establishes a connection between the dimension of the kernel of the operator A and the dimension of the set of solutions of this inclusion.
Keywords:
multi valued;
topological properties;
solutions operator;
set solutions;
properties set;
valued lipschitz
Journal Title: Russian Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Russian Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!