3 papers
math.FA2026
Survey of Metric fixed point theory in random functional analysis
Tiexin Guo, Qiang Tu, Xiaohuan Mu +1
Based on the idea of randomizing the traditional space theory of functional analysis, random functional analysis has been developed as functional analysis over random metric spaces…
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.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…