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Publication
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| Title of Article |
An explanation of over-relaxation parameters for some algorithms in Hilbert spaces |
| Date of Acceptance |
21 December 2017 |
| Journal |
| Title of Journal |
Linear and nonlinear analysis |
| Standard |
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| Institute of Journal |
Yokohama Publ. |
| ISBN/ISSN |
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| Volume |
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| Issue |
3 |
| Month |
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| Year of Publication |
2017 |
| Page |
409-421 |
| Abstract |
Many known algorithms concerning mappings of firmly nonexpansive type have been proposed with the relaxation parameters in the interval [0,2]. Using a fact from theory of nonexpansive mappings, we show that such an over-relaxation can be deduced from the usual relaxation the interval [0,1]. In this paper we discuss a more general form algorithms of the recent works of Chuang and Takahashi [4]. This is inspired by the one studied by Combettes and Pennanen [7]. Finally, we use the same technique to explain the over-relaxation of the contraction-proximal point algorithm of Wang and Cui [17]. |
| Keyword |
nonexpansive mapping, fixed point, maximal monotone operator, over-relaxation parameter, Mann type algorithm, contraction-proximal point algorithm |
| Author |
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| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ตีพิมพ์แล้ว |
| Level of Publication |
นานาชาติ |
| citation |
false |
| Part of thesis |
true |
| Attach file |
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| Citation |
0
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Journal Publication
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