SECURE AND RELIABLE IOT NETWORKS USING FOG COMPUTING WITH SOFTWARE-DEFINED NETWORKING AND BLOCKCHAIN
Article
Journal of Sensor and Actuator Networks.
MDPI AG.
Vol. 8.
2019.
On the Borsuk-Ulam Theorem for Lipschitz Mappings on an Infinite-Dimensional Space
The solvability of the equation A(x) = f(x) on the sphere of a Hilbert space and the dimension of its solution set are studied in the case where A is a closed surjective operator and f is an odd Lipschitz mapping. A kind of analogue of the infinite-dimensional version of the Borsuk-Ulam theorem is obtained. © 2019, Springer Science+Business Media, Inc.
Authors
Gel’man B.D.
1,
2
Number of issue
1
Language
English
Pages
61-64
Status
Published
Link
Volume
53
Year
2019
Organizations
- 1 Voronezh State University, Voronezh, Russian Federation
- 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
contraction mapping; Lipschitz constant; surjective operator; topological dimension
Date of creation
19.07.2019
Date of change
19.07.2019
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Other records
XLinguae.
Slovenska Vzdelavacia Obstaravacia.
Vol. 12.
2019.
P. 186-194