2 research outputs found
Relaxed Lagrangian duality in convex infinite optimization: reverse strong duality and optimality
We associate with each convex optimization problem posed on some locally
convex space with an infinite index set T, and a given non-empty family H
formed by finite subsets of T, a suitable Lagrangian-Haar dual problem. We
provide reverse H-strong duality theorems, H-Farkas type lemmas and optimality
theorems. Special attention is addressed to infinite and semi-infinite linear
optimization problems.Comment: 19 page