Publicación: A NOTION OF CONJUGACY FOR NONCONVEX SET-VALUED MAPPINGS OF THE REAL-LINE AND RELATED PROPERTIES
Fecha
2022
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COMMUNICATIONS IN OPTIMIZATION THEORY
Resumen
GIVEN A NONCONVEX SET-VALUED MAPPINGS F : RN ? R, A NOTION OF CONJUGATE F? IS INTRODUCED WITH THE GOAL THAT (F?)? = F. THIS IS GIVEN BY USING THE USUAL (BILINEAR) DUALITY PAIRING. SEVERAL EXAMPLES SHOWING ITS GEOMETRIC INTERPRETATION ARE PRESENTED, AS WELL AS A NOTION OF SUBDIFFERENTIAL FOR SUCH SET-VALUED MAPS IS ALSO OUTLINED.
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SET-VALUED MAP., DUALITY THEORY, CONVEX CONJUGATE FUNCTION, CONTINGENT DERIVATIVE, CONTINGENT CONE
