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[HTML][HTML] Common fixed points and coincidences of map** families on partially ordered sets
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' …
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 …
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 …
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 …
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
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 …
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 …
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
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 …
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
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 …
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 …
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** …
under any homotopy of self-map**s on some spaces in the event that the initial map** …