Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations
Sign Up to like & getrecommendations! Published in 2017 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0438-3
Abstract: In this paper, we deal firstly with the question of the stability of the metric regularity under set-valued perturbation. By adopting the measure of closeness between two multifunctions, we establish some stability results on the… read more here.
Keywords: stability metric; regularity set; metric regularity; set valued ... See more keywords
Spectral Stability of Metric-Measure Laplacians
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DOI: 10.1007/s11856-019-1865-7
Abstract: We consider a “convolution mm-Laplacian” operator on metric-measure spaces and study its spectral properties. The definition is based on averaging over small metric balls. For reasonably nice metric-measure spaces we prove stability of convolution Laplacian’s… read more here.
Keywords: stability metric; measure laplacians; measure; metric measure ... See more keywords