Metric Subregularity and $$\omega (\cdot )$$ ω ( · ) -Normal Regularity Properties

Florent Nacry (), Vo Anh Thuong Nguyen and Juliette Venel
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Florent Nacry: Université Perpignan Via Domitia, LAMPS
Vo Anh Thuong Nguyen: Université Perpignan Via Domitia, LAMPS
Juliette Venel: Université Polytechnique Hauts-de-France, INSA Hauts-de-France, CERAMATHS

Journal of Optimization Theory and Applications, 2024, vol. 203, issue 2, No 15, 1439-1470

Abstract: Abstract In this paper, we establish through an openness condition the metric subregularity of a multimapping with normal $$\omega (\cdot )$$ ω ( · ) -regularity of either the graph or values. Various preservation results for prox-regular and subsmooth sets are also provided.

Keywords: Normal regularity; Prox-regularity; Subsmoothness; Metric regularity; Metric subregularity; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02476-5

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