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Implicit function theorems for m-accretive and locally accretive set-valued mappings

โœ Scribed by A. Domokos

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
151 KB
Volume
41
Category
Article
ISSN
0362-546X

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Let X be a real Banach space and T : D(T) C X --\\* 2 X be an m-accretive operator. Let C : D(T) C X --~ X be a bounded operator (not necessarily continuous) such that C(T -+-i)-1 is compact. Suppose that for every x โ€ข D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then