A new relaxed asymptotic contraction condition in random normed modules guarantees unique random fixed points and convergence of iterates, generalizing Kirk's theorem.
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math.FA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper proves a fixed point theorem for random asymptotically pointwise contractions in bounded random normed modules by applying a deterministic theorem in L^p(E) after choosing p large enough that 5^{1/p}λ < 1.
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Random Fixed Point Theorems for Relaxed Asymptotic Contractions in Random Normed Modules
A new relaxed asymptotic contraction condition in random normed modules guarantees unique random fixed points and convergence of iterates, generalizing Kirk's theorem.
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A Fixed Point Theorem for Random Asymptotically Pointwise Contractions
The paper proves a fixed point theorem for random asymptotically pointwise contractions in bounded random normed modules by applying a deterministic theorem in L^p(E) after choosing p large enough that 5^{1/p}λ < 1.