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math.FA2026
Stable topology and stable compactness
Tiexin Guo, Qiang Tu, Xiaohuan Mu +3
To solve a large class of noncompact problems ubiquitous in random functional analysis and its applications, most of compactness-based fundamental theorems established for normed s…
math.FA2026
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…
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…