The e-support function of an e-convex set and conjugacy for e-convex functions

作者：Enrique Martinez Legaz Juan; Vicente Perez Jose

来源：Journal of Mathematical Analysis and Applications, 2011, 376(2): 602-612.

DOI：10.1016/j.jmaa.2010.10.058

• Evenly convex set
• Evenly convex function
• Support function
• Convex conjugation

A subset of a locally convex space is called e-convex if it is the intersection of a family of open halfspaces. An extended real-valued function on such a space is called e-convex if its epigraph is e-convex. In this paper we introduce a suitable support function for e-convex sets as well as a conjugation scheme for e-convex functions.

• 出版日期2011-4-15