5 papers · 1 filter
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…
A random demiclosedness principle for random asymptotically nonexpansive mappings
Yuanyuan Sun, Tiexin Guo, Qiang Tu
By making full use of the inherent connection between the theory of random conjugate spaces and the theory of classical conjugate spaces, in this paper we establish a random demicl…
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…
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…
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…