Continuity of the Legendre-Fenchel transform for some variational convergences. (English) Zbl 1153.49310
Summary: We present in a self-contained way some results about the continuity of the Legendre-Fenchel transform. They will be used for a study of the convergence of explicit solutions to the evolution Hamilton-Jacobi equations.
MSC:
| 49J53 | Set-valued and variational analysis |
| 49J45 | Methods involving semicontinuity and convergence; relaxation |
| 90C31 | Sensitivity, stability, parametric optimization |
| 46A20 | Duality theory for topological vector spaces |
| 46N10 | Applications of functional analysis in optimization, convex analysis, mathematical programming, economics |
Keywords:
Bounded convergence; Convergence; Duality; Fenchel transform; Legendre transform; Mosco convergenceReferences:
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