Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.8.2024.3.05

Volume 8, Issue 3, 1 June 2024, Pages 419-431

 

Abstract. The level-set subdifferential error bound (LSEB) is weaker than the Kurdyka-Łojasiewicz (KL) property and can replace it to establish linear convergence for various first-order algorithms. In this paper, we mainly study the behaviour of the level-set subdifferential error bound via Moreau envelopes under suitable assumptions. We provide an example that the Moreau envelope does not have the KL property but has the LSEB when the original function does not satisfy the KL property but only the LSEB.

 

How to Cite this Article:
Y. Wang, S. Li, M. Li, X. Li, The level-set subdifferential error bound via Moreau envelopes, J. Nonlinear Var. Anal. 8 (2024), 419-431.