ISSN:
1572-932X
Keywords:
subdifferentials
;
mean value inequalities
;
local fuzzy sum rules
;
nonlocal fuzzy sum rules
;
extremal principles and Asplund spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Several different basic tools are used for studying subdifferentials. They are a nonlocal fuzzy sum rule in (Borwein et al., 1996; Zhu, 1996), a multidirectional mean value theorem in (Clarke and Ledyaev, 1994; Clarke et al., 1998), local fuzzy sum rules in (Ioffe, 1984, 1990) and an extremal principle in (Kruger and Mordukhovich, 1980; Mordukhovich, 1976, 1980, 1994). We show that all these basic results are equivalent and discuss some interesting consequences of this equivalence.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008656207314
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