Let H be a real Hilbert space. Consider the iterative sequence where ฮณ > 0 is some constant, f : H โ H is a given contractive mapping, A is a strongly positive bounded linear operator on H and W n is the W -mapping generated by an infinite countable family of nonexpansive mappings T 1 , T 2 , . . .
A general iterative method for a finite family of nonexpansive mappings
โ Scribed by Yonghong Yao
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 183 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
We study the approximation of common fixed points of a finite family of nonexpansive mappings and suggest a modification of the iterative algorithm without the assumption of any type of commutativity. Also we show that the convergence of the proposed algorithm can be proved under some types of control conditions.
๐ SIMILAR VOLUMES
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