JNCA: Some contributions to nonconvex sweeping process



	Volume 11, Number 1, April 2010, pp. 1-11
Rafal Goebel
Key words:
Convex functions, saddle functions, average, proximal mapping, convex conjugacy, partial conjugacy, duality
Mathematices Subject Classification: Primary 47H10, 49J40, 65K10

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	Abstract:
	The concept of the proximal average for convex functions is extended to saddle functions. Self-duality of the proximal average is established with respect to partial conjugacy, which pairs a convex function with a saddle function, and saddle function conjugacy, which pairs a saddle function with a saddle function.

The proximal average for saddle functions and its symmetry properties with respect to partial and saddle conjugacy