Even convexity, subdifferentiability, and Gamma-regularization in general topological vector spaces Articles uri icon

authors

  • VICENTE PEREZ, JOSE
  • VOLLE, MICHEL

publication date

  • September 2015

start page

  • 956

end page

  • 968

issue

  • 2

volume

  • 429

International Standard Serial Number (ISSN)

  • 0022-247X

Electronic International Standard Serial Number (EISSN)

  • 1096-0813

abstract

  • In this paper we provide new results on even convexity and extend some others to the framework of general topological vector spaces. We first present a characterization of the even convexity of an extended real-valued function at a point. We then establish the links between even convexity and subdifferentiability and the Gamma-regularization of a given function. Consequently, we derive a sufficient condition for strong duality fulfillment in convex optimization problems. (C) 2015 Elsevier Inc. All rights reserved.