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arXiv 1402.6080math.FA
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几种迭代格式收敛速度的比较

Comparison of The Speed of Convergence Among Various Iterative Schemes

Vatan Karakaya, Faik Gürsoy, Müzeyyen Ertürk

摘要:

我们证明了Karahan和Özdemir(2013)的迭代格式可以用来逼近压缩映射的不动点.此外,我们证明了CR迭代格式比Karahan和Özdemir(2013)的迭代格式收敛得更快。最后,我们利用Karahan和Özdemir(2013)的迭代格式证明了压缩映射的一个数据依赖结果。

英文摘要:

We show that iterative scheme due to Karahan and Özdemir (2013) can be used to approximate fixed point of contraction mappings. Furthermore, we prove that CR iterative scheme converges faster than the iterative scheme due to Karahan and Özdemir (2013) for the class contraction mappings. Finally, we prove a data dependence result for contraction mappings by employing iterative scheme due to Karahan and Özdemir (2013).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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