Characterizations of nonsmooth generalized polarly cone-monotone maps
2005 ◽
Vol 42
(4)
◽
pp. 445-458
Keyword(s):
In this paper we consider different types of generalized cone-mono-tone maps: polarly C-monotone, strictly polarly C-monotone, strongly polarly C-monotone, polarly C-pseudomonotone, strictly polarly C-pseudomonotone and polarly C-quasimonotone maps, where C is a cone in a finite-dimensional space Rm. We characterize these maps in the case when they are radially continuous with respect to the positive polar cone C+ of the cone C, generalizing some well known results. In the obtained theorems we use first and higher-order lower Dini directional derivatives.
2005 ◽
Vol 02
(03)
◽
pp. 251-258
2016 ◽
Vol 3
(4)
◽
pp. 400-410
◽
1985 ◽
Vol 37
(1)
◽
pp. 160-192
◽
Keyword(s):
1973 ◽
Vol 10
(03)
◽
pp. 502-509
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