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On strong limiting subdifferential calculus in separable binormed spaces

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Abstract

We study a concept of subdifferential for general extended-real-valued functions defined on separable binormed spaces. This construction is a generalization of the strong limiting subdifferential in Banach spaces introduced by Lahrech et al. (Int Math Forum 2(55):2711–2718, 2007). In this paper we establish some useful calculus rules in the separable binormed spaces.

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  1. Laboratoire d’Analyse numérique et Optimisation, Centre Régional des Métiers de l’Education et de la Formation(CRMEF), B.P 458, Oujda, Morocco

    J. Hlal

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  1. J. Hlal
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Correspondence to J. Hlal.

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Hlal, J. On strong limiting subdifferential calculus in separable binormed spaces. Rend. Circ. Mat. Palermo, II. Ser 66, 439–445 (2017). https://doi.org/10.1007/s12215-016-0264-8

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  • DOI: https://doi.org/10.1007/s12215-016-0264-8

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