Every proximal mapping is a resolvent of level proximal subdifferential

نویسندگان

چکیده

We propose a level proximal subdifferential for proper lower semicontinuous function. Level is uniform refinement of the well-known subdifferential, and has pleasant feature that its resolvent always coincides with mapping It turns out representation in terms Mordukhovich limiting only valid hypoconvex functions. also provide properties numerous examples to illustrate our results.

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ژورنال

عنوان ژورنال: Optimization Letters

سال: 2023

ISSN: ['1862-4480', '1862-4472']

DOI: https://doi.org/10.1007/s11590-023-02036-2