𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An alternative formulation for a new closed cone constraint qualification

✍ Scribed by Radu Ioan Boţ; Gert Wanka


Book ID
103845792
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
169 KB
Volume
64
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis


We give an alternative formulation for the so-called closed cone constraint qualification (CCCQ) related to a convex optimization problem in Banach spaces recently introduced in the literature. This new formulation allows to prove in a simple way that (CCCQ) is weaker than some generalized interior-point constraint qualifications given in the past. By means of some insights from the theory of conjugate duality we also show that strong duality still holds under some weaker hypotheses than the ones considered so far in the literature.