赋范线性空间中修改的具误差的Ishikawa迭代程序

Modified Ishikawa Iterative Process with Errors in Normed Linear Spaces

中文关键词:  $\phi$-半压缩映象  修改的具误差的Ishikawa迭代程序  不动点  赋范线性空间.

英文关键词:$\phi$-hemicontractive mapping  modified Ishikawa iterative sequences with errors  fixed point  normed linear spaces.

中文摘要:

      本文给出了有别于刘立山以及徐洪坤的意义下的具误差的Ishikawa迭代程序.进一步, 还研究了赋范线性空间中$\phi$-半压缩映象不动点的具误差的Ishikawa迭代逼近问题.所得的结果改进和推广了许多相应的结果.

英文摘要:

      Ishikawa iterative sequences with errors different from the iterative sequences introduced by Liu and Xu are given. Moreover, the problem of approximating the fixed points of $\phi$-hemicontractive mapping in normed linear spaces by the modified Ishikawa iterative sequences with errors is investigated. The results presented in this paper improve and extend the results of the others.