Name
Abstract | ||
|---|---|---|
We use second-order asymptotic analysis to deal with the minimization problem of a noncoercive convex function in a reflexive Banach space. To that end, we first introduce the definition of a second-order asymptotic cone, and its respective function, based on previous results for the finite dimensional case. We provide necessary and sufficient conditions for the existence of solutions for noncoercive convex minimization problems. Examples for which our assumptions are easier to verify than other well-known results are also provided. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s00186-017-0605-1 | Math. Meth. of OR |
Keywords | Field | DocType |
Asymptotic cones and functions, Second-order asymptotic functions, Convex optimization, Optimality conditions | Mathematical optimization,Mathematical analysis,Convex combination,Subderivative,Convex function,Conic optimization,Proper convex function,Convex optimization,Convex analysis,Mathematics,Linear matrix inequality | Journal |
Volume | Issue | ISSN |
86 | 3 | 1432-2994 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Felipe Lara | 1 | 1 | 1.10 |