Geodesic
Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces
Journal of convex analysis, Tome 11 (2004) no. 1, pp. 179-196
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We extend to smooth Banach spaces the proximal formula for Clarke subdifferential of lower semicontinuous function. In the process we also extend the representation of G-subdifferential and the singular G-subdifferential in terms of sequential limits of smooth subdifferentials of controlled rank. 
@article{JCA_2004_11_1_JCA_2004_11_1_a11,
     author = {M. Ivanov},
     title = {Sequential {Representation} {Formulae} for {G-Subdifferential} and {Clarke} {Subdifferential} in {Smooth} {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {179--196},
     year = {2004},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a11/}
}
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M. Ivanov. Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces. Journal of convex analysis, Tome 11 (2004) no. 1, pp. 179-196. http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a11/