Comparison of some types of locally covering mappings

Definitions of covering property that frequently appear in publications are discussed and compared. Several examples related to these definitions and coincidence points theorems of covering and Lipschitz mappings are constructed. © 2016, House of the Book of Science. All rights reserved

On covering of linear operators on polyhedral sets

We consider a problem of finding a covering constant for a restriction of a linear operator to a polyhedral set. The obtained result allows to reduce the initial problem to the problem of finding a covering constant for some linear bijective operators. © 2016, Allerton Press, Inc

On continuous selections of finite-valued set-valued mappings

Set-valued mappings with finite images are considered. For these mappings, a theorem on the existence of continuous selections is proved. © The Eurasian National University

On covering of linear operators on polyhedral sets

We consider a problem of finding a covering constant for a restriction of a linear operator to a polyhedral set. The obtained result allows to reduce the initial problem to the problem of finding a covering constant for some linear bijective operators. © 2016, Allerton Press, Inc

On coincidence points of mappings in partially ordered spaces

[No abstract available

Coincidence points principle for set-valued mappings in partially ordered spaces

In the paper the concept of covering (regularity) for set-valued mappings in partially ordered spaces is introduced. The coincidence points problem for set-valued mappings in partially ordered spaces is considered. Sufficient conditions for the existence of coincidence points of isotone and orderly covering set-valued mappings are obtained. It is shown that the known theorems on coincidence points of covering and Lipschitz mappings in metric spaces can be deduced from the obtained results. © 2015 Published by Elsevier B.V

On continuous selections of finite-valued set-valued mappings

Set-valued mappings with finite images are considered. For these mappings, a theorem on the existence of continuous selections is proved. © The Eurasian National University

Coincidence points of set-valued mappings in partially ordered spaces

[No abstract available

Comparison of some types of locally covering mappings

Definitions of covering property that frequently appear in publications are discussed and compared. Several examples related to these definitions and coincidence points theorems of covering and Lipschitz mappings are constructed. © 2016, House of the Book of Science. All rights reserved

Covering mappings and well-posedness of nonlinear Volterra equations

The statements on solvability, solution estimates, and well-posedness of equations with conditionally covering mappings are proved. The results obtained are applied to the investigation of Volterra equations (including integral equations) unsolved for the unknown function. © 2011 Elsevier Ltd. All rights reserved