Geodesic
Compact subdifferentials: the formula of finite increments and related topics
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 34 (2009), pp. 121-138

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The general properties of compact subdifferentials ($K$-subdifferentials) for mappings of a segment to a locally convex space are studied. Different forms of the general theorem of finite increments and the mean value theorem for compact subdifferentials are considered in detail with closed and open estimates. 
@article{CMFD_2009_34_a5,
     author = {I. V. Orlov and F. S. Stonyakin},
     title = {Compact subdifferentials: the formula of finite increments and related topics},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {121--138},
     publisher = {mathdoc},
     volume = {34},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2009_34_a5/}
}
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I. V. Orlov; F. S. Stonyakin. Compact subdifferentials: the formula of finite increments and related topics. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 34 (2009), pp. 121-138. http://geodesic.mathdoc.fr/item/CMFD_2009_34_a5/