Showing 2025Show all
2 papers · 1 filter
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…