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Strong convergence of viscosity approximation methods for finding zeros of accretive operators in Banach spaces

✍ Scribed by Jong Soo Jung

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 649 KB
Volume: 72
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.06.079

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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 • D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then