September 18, 2025MathematicsOpen Access

Weak Convergence of Robust Functions on Topological Groups

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L-convergence indicates E-convergence, demonstrating a key relationship in weak convergence within mathematical frameworks.
Robust level functions in Hausdorff topological groups can be approximated, aiding in perturbation-resilient modeling tasks.
The findings extend classical Γ-convergence theories, particularly in relation to optimization in non-Euclidean spaces.
An explicit nonmetrizable example illustrates the broader applications of weak convergence beyond traditional settings.

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This research introduces weak convergence concepts for level functions in topological groups, suggesting new optimization approaches.

Ayala et al. (2025) studied this question.

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