Email this article On coincidences of families of mappings on ordered sets
- Authors: Podoprikhin D.A.1, Fomenko T.N.1
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Affiliations:
- Mechanics and Mathematics Faculty
- Issue: Vol 94, No 3 (2016)
- Pages: 620-622
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224475
- DOI: https://doi.org/10.1134/S106456241606003X
- ID: 224475
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Abstract
New results on fixed points and coincidences of families of set-valued mappings of partially ordered sets obtained without commutativity assumptions are presented. These results develop theorems on fixed points of an isotone self-mapping of an ordered set (for families of set-valued mappings) and theorems about coincidences of two set-valued mappings one of which is isotone and the other is covering (for finite families of set-valued mappings).
About the authors
D. A. Podoprikhin
Mechanics and Mathematics Faculty
Email: tn-fomenko@yandex.ru
Russian Federation, Moscow, 119991
T. N. Fomenko
Mechanics and Mathematics Faculty
Author for correspondence.
Email: tn-fomenko@yandex.ru
Russian Federation, Moscow, 119991
