[HTML][HTML] Common fixed points and coincidences of map** families on partially ordered sets

TN Fomenko, DA Podoprikhin - Topology and its Applications, 2017 - Elsevier
New coincidence and common fixed point theorems are proved for families of multivalued
map**s on partially ordered sets. The obtained results generalize some recent authors' …

Неподвижные точки и совпадения семейств отображений упорядоченных множеств и некоторые метрические следствия

ТН Фоменко - Известия Российской академии наук. Серия …, 2019 - mathnet.ru
Представлены теоремы об общих неподвижных точках и точках совпадения семейств
многозначных отображений упорядоченных множеств, обобщающие соответствующие …

Сохранение существования точки совпадения при некоторых дискретных преобразованиях пары отображений метрических пространств

ТН Фоменко - Труды Института математики и механики УрО РАН, 2017 - mathnet.ru
В топологии известны результаты о сохранении в процессе гомотопии свойства
отображения некоторых пространств в себя иметь неподвижную точку, если число …

Fixed points of map**s on ordered sets

DA Podoprikhin - Lobachevskii Journal of Mathematics, 2017 - Springer
In this paper sufficient conditions are presented for the least element existence in the
common fixed point set of a family of multivalued map**s on ordered sets. The problem of …

Preservation of the existence of fixed and coincidence points under homotopy of map**s of ordered sets

DA Podoprikhin, TN Fomenko - Doklady Mathematics, 2017 - Springer
In problems of topology and analysis, well-known theorem on the preservation by any
continuous homotopy of the property of a map** to have a fixed point and the property of a …

Fixed points and coincidences of families of map**s between ordered sets and some metrical consequences

TN Fomenko - Izvestiya: Mathematics, 2019 - iopscience.iop.org
We present theorems on common fixed points and coincidences for families of multi-valued
map**s of ordered sets. This generalizes some recent results of the author and …

Multivalued Homotopy on an Ordered Set, Fixed and Coincidence Points of Map**s, and Applications in Game Theory

DA Podoprikhin, TN Fomenko - Mathematical Notes, 2019 - Springer
The article develops results of the authors' previous papers on the topic. The notion of the
homotopy of a multivalued map** of an ordered set is introduced. We study the problem …

On preservation of common fixed points and coincidences under a homotopy of map** families of ordered sets

T Fomenko, D Podoprikhin - Journal of Optimization Theory and …, 2019 - Springer
In the case of Banach spaces, there are theorems stating the invariance of the fixed point
property of map**s under a homotopy. In this paper, we consider this problem in the case …

Fixed-point and coincidence theorems in ordered sets

TN Fomenko - Doklady Mathematics, 2017 - Springer
The paper is devoted to the problem of the existence of common fixed points and
coincidence points of a family of set-valued maps of ordered sets. Fixed-point and …

Preservation of the coincidence point existence property under some discrete transformations of a pair of map**s of metric spaces

TN Fomenko - Proceedings of the Steklov Institute of Mathematics, 2018 - Springer
In topology, there are known results on preservation of the fixed point existence property
under any homotopy of self-map**s on some spaces in the event that the initial map** …