Fixed-point and coincidence theorems in ordered sets
- Autores: Fomenko T.1
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Afiliações:
- Faculty of Computational Mathematics and Cybernetics
- Edição: Volume 95, Nº 3 (2017)
- Páginas: 264-266
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225113
- DOI: https://doi.org/10.1134/S1064562417030176
- ID: 225113
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Resumo
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 theorems for families of set-values maps are presented, which generalize some of the known results. The presented theorems, unlike previous ones, do not assume the maps to be isotone or coverable. They require only the existence of special chains having lower bounds with certain properties in the ordered set.
Sobre autores
T. Fomenko
Faculty of Computational Mathematics and Cybernetics
Autor responsável pela correspondência
Email: tn-fomenko@yandex.ru
Rússia, Moscow, 119991