Zobrazeno 1 - 10
of 48 549
pro vyhledávání: '"Fixed point theorems"'
Autor:
Zhou, Mi, Petrov, Evgeniy
In the present paper, a new type of mappings called perimetric contractions on $k$-polygons is introduced. These contractions can be viewed as a generalization of mappings that contracts perimeters of triangles. A fixed point theorem for this type of
Externí odkaz:
http://arxiv.org/abs/2410.20449
In this paper, we first introduce and study the notion of random Chebyshev centers. Further, based on the recently developed theory of stable sets, we introduce the notion of random complete normal structure so that we can prove the two deeper theore
Externí odkaz:
http://arxiv.org/abs/2408.11694
Autor:
Yu, Lu
For an ascending correspondence $F:X\to 2^X$ with chain-complete values on a complete lattice $X$, we prove that the set of fixed points is a complete lattice. This strengthens Zhou's fixed point theorem. For chain-complete posets that are not necess
Externí odkaz:
http://arxiv.org/abs/2407.18582
Publikováno v:
Carpathian Journal of Mathematics, 2024 Jan 01. 40(3), 789-804.
Externí odkaz:
https://www.jstor.org/stable/27320276