Construction of Zeros of Accretive Mappings
โ Scribed by A. Udomene
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 86 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
Let E be a real uniformly smooth Banach space. Implicit iterative methods for the approximation of zeros of m-accretive mappings A: E ยช 2 E are constructed and an application to the construction of an explicit iterative method is given. Our Banach space need not admit duality maps which are weakly sequentially continuous at zero. In particular our theorems apply to L spaces 1p -ฯฑ. แฎ 2001 p
๐ SIMILAR VOLUMES
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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 โข D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then