S. E. Zhukovskiy, “On the retracts of finite-dimensional spaces, generated by coercive mappings”, Chebyshevskii Sb., 2020, Volume 21, Issue 2,Pages <nobr>139

On the retracts of finite-dimensional spaces, generated by coercive mappings

S. E. Zhukovskiy

V. A. Trapeznikov Institute of Control Sciences of RAS (Moscow)

Abstract: Coercive continuous injective mappings acting from one linear finite-dimensional space to another are considered. It is proved that the images of these mappings are retracts of linear spaces.

Keywords: retract, coercive mapping, uniform regularity.

UDC: 515.126

Received: 28.11.2019
Accepted: 11.03.2020

Language: English

DOI: 10.22405/2226-8383-2018-21-2-139-143