Details

Autor(en) / Beteiligte

• Li, Chong
• Ng, K. F.

Titel

On Constraint Qualification for an Infinite System of Convex Inequalities in a Banach Space

Ist Teil von

• SIAM journal on optimization, 2005-01, Vol.15 (2), p.488-512

Ort / Verlag

Philadelphia: Society for Industrial and Applied Mathematics

Erscheinungsjahr

2005

Quelle

Business Source Ultimate

Beschreibungen/Notizen

• For a general infinite system of convex inequalities in a Banach space, we study the basic constraint qualification and its relationship with other fundamental concepts, including various versions of conditions of Slater type, the Mangasarian--Fromovitz constraint qualification, as well as the Pshenichnyi--Levin--Valadier property introduced by Li, Nahak, and Singer. Applications are given in the restricted range approximation problem, constrained optimization problems, as well as in the approximation problem with constraints by conditionally positive semidefinite functions.