A porosity result in convex minimization

We study the minimization problem f(x)→min, x∈C, where f belongs to a complete metric space ℳ of convex functions and the set C is a countable intersection of a decreasing sequence of closed convex sets Ci in a reflexive Banach space. Let ℱ be the set of all f∈ℳ for which the solutions of the mini...

Full description

Bibliographic Details
Main Authors: P. G. Howlett, A. J. Zaslavski
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.319