Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615872 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
Abstract
Throughout this paper, the authors introduce a new condition, defined by Assumption S′S′, which establishes a necessary and sufficient condition for the validity of the strong duality between a convex optimization problem and its Lagrange dual. This work will be focused on the context of emptiness of the interior of the ordering cone and convexity of the equality constraints. Moreover, this new condition will be necessary and sufficient for the infinite dimensional Lagrange multiplier rule. This new principle will find application to the elastic–plastic torsion problem, to the continuum model of transportation and to a problem with quadratic equality constraint with connected to evolutionary illumination and visibility problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Antonino Maugeri, Daniele Puglisi,