3 papers
math.FA2025
The random Kakutani fixed point theorem in random normed modules
Qiang Tu, Xiaohuan Mu, Tiexin Guo +2
Based on the recently developed theory of random sequential compactness, we prove the random Kakutani fixed point theorem in random normed modules: if G is a random sequentially co…
math.FA2025
A new complete proof of the random Brouwer fixed point theorem and its implied consequences of unification
Qiang Tu, Xiaohuan Mu, Tiexin Guo +1
We first establish a general random Sperner lemma by presenting a completely new approach for the theory of -simplicial subdivisions of -simplexes. Based on this, we…
math.FA2024
Common fixed point theorems for a commutative family of nonexpansive mappings in complete random normed modules
Xiaohuan Mu, Qiang Tu, Tiexin Guo +1
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 rando…