Epi/hypographic analysis. (Analyse épi/hypo-graphique.) (French) Zbl 0893.49015

Epigraphic analysis and hypographic analysis have arisen and grown up in recent years in connection with the investigation of minimization and maximization problems, respectively. Strongly linked to these theories is the so-called epi/hypographic analysis concisely dealt with, but also completed in the present paper. Its applications are in the theory of saddle points.


49J52 Nonsmooth analysis
49J45 Methods involving semicontinuity and convergence; relaxation
49J24 Optimal control problems with differential inclusions (existence) (MSC2000)