Implicit Multifunction Theorems in Banach Spaces
Keyword(s):
This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit multifunctions in general Banach spaces. The basic tools of our analysis involve the Ekeland variational principle, the Clarke subdifferential, and the Clarke coderivative.
1996 ◽
Vol 48
(4)
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pp. 834-848
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2003 ◽
Vol 2003
(1)
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pp. 19-31
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2004 ◽
Vol 2004
(50)
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pp. 2653-2680
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1998 ◽
Vol 19
(3-4)
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pp. 215-226
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2015 ◽
Vol 93
(3)
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pp. 473-485
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