Preservation of the existence of fixed and coincidence points under homotopy of mappings of ordered sets
- 作者: Podoprikhin D.A.1, Fomenko T.N.1
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隶属关系:
- Mechanics and Mathematics Faculty
- 期: 卷 96, 编号 3 (2017)
- 页面: 591-593
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225426
- DOI: https://doi.org/10.1134/S1064562417060199
- ID: 225426
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详细
In problems of topology and analysis, well-known theorem on the preservation by any continuous homotopy of the property of a mapping to have a fixed point and the property of a pair of mappings to have a coincidence point are extensively applied. Thus, for contraction mappings and some of their generalizations, Frigon’s results on the preservation of the property to have a fixed point by a homotopy of a special type are known. This paper presents theorems on the preservation by order homotopy of the property of a pair of mappings to have a coincidence point. As a corollary, conditions under which such a homotopy preserves the property of a mapping to have a fixed point are obtained.
作者简介
D. Podoprikhin
Mechanics and Mathematics Faculty
Email: tn-fomenko@yandex.ru
俄罗斯联邦, Moscow, 119991
T. Fomenko
Mechanics and Mathematics Faculty
编辑信件的主要联系方式.
Email: tn-fomenko@yandex.ru
俄罗斯联邦, Moscow, 119991
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