This article is cited in 1 paper

MATHEMATICS

On coincidence points of two multi-valued mappings in spaces with vector-valued metrics

E. A. Pluzhnikova^ab, Yu. A. Moiseev^a, A. A. Repin<sup>a

a</sup> Tambov State University named after G.R. Derzhavin
^b RUDN University

Abstract: Spaces with vector-valued metrics are considered. The values of a vector-valued metric are elements of a cone in some linear normed space. The concept of covering (metric regularity) for multi-valued mappings in spaces with vector-valued metrics is formulated. A statement about coincidence points of a metrically regular and a Lipschitz multi-valued mappings in spaces with vector-valued metrics is obtained.

Keywords: coincidence points of mappings, multi-valued mappings, covering mappings, metrically regular mappings, spaces with vector-valued metrics.

UDC: 517

Received: 02.09.2017

DOI: 10.20310/1810-0198-2017-22-6-1309-1313