Alexander Kruger
Key words:
nonsmooth analysis, normal cone, optimality, extremality, stationarity,
regularity, set-valued mapping, Asplund space
Mathematices Subject Classification: 90C46, 90C48, 49K27, 58C20, 58E30
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Abstract:
Extremality, stationarity and regularity notions for a system of closed
sets in a normed linear space are investigated. The equivalence of different abstract ``extremal" settings in terms of set systems and multifunctions is proved. The dual necessary and sufficient conditions of weak stationarity (the Extended extremal principle) are presented for the case of an Asplund space.
Stationarity and regularity of set systems

Special Issue in Honor of the 70th Birthday of R.Tyrrell Rockafellar
Volume 1, Number 1, January 2005, pp. 101-126