3 papers
math.FA2026
Random Fixed Point Theorems for Relaxed Asymptotic Contractions in Random Normed Modules
Jie Shi
We introduce the notion of a random relaxed asymptotic contraction in the setting of random normed modules. The contraction condition employs two quasi-metrics that are built direc…
math.FA2026
A Fixed Point Theorem for Random Asymptotically Pointwise Contractions
Jie Shi
This paper combines the decomposition technique (-stability) in random functional analysis with the deterministic theory of asymptotically pointwise contractions to provide a c…
math.FA2026
Fixed Points of Asymptotic Pointwise Contractions under Local Uniform Convergence
Jie Shi
We introduce a weak asymptotic version of nonlinear contraction, termed \emph{asymptotic pointwise contraction}. For a mapping on a metric space, this notion requires the existence…