Geodesic
Coincidence Theorems for Convex Functions
Journal of convex analysis, Tome 9 (2002) no. 1, pp. 259-268 Cet article a éte moissonné depuis la source Heldermann Verlag

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The paper aims at creating a new insight into our perception of convexity by focusing on two fundamental problems: the coincidence of two functions (at least one being convex) upon an information on a dense set and the clarification of the relation between convexity and Fenchel subdifferential. Various results are established into these directions. Several examples are also illustrated showing that some rather unexpected situations can often occur.
Classification : 52A41, 49J52, 26E99
Mots-clés : Convex function, coincidence, subdifferential 
@article{JCA_2002_9_1_JCA_2002_9_1_a12,
     author = {J. Benoist and A. Daniilidis},
     title = {Coincidence {Theorems} for {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {259--268},
     year = {2002},
     volume = {9},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a12/}
}
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J. Benoist; A. Daniilidis. Coincidence Theorems for Convex Functions. Journal of convex analysis, Tome 9 (2002) no. 1, pp. 259-268. http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a12/