-半压缩映象带误差的Ishikawa迭代的稳定性  

Stability of the Ishikawa iterative procedure with errors for -semicontractive mapping

作　　者：崔艳兰[1] 高兴慧[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西北大学学报（自然科学版）》2005年第3期251-254,共4页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(10271093)

摘　　要：目的在任意实Banach空间中,研究非线性映象不动点迭代程序的稳定性.方法ψ-半压缩映象带误差Ishikawa序列的逼近法.结果给出了ψ-半压缩映象带误差的Ishikawa迭代序列的收敛及稳定性定理.结论改进和发展了文献[2,4～6]的相关结果.Aim To study the stability problem on iterative procedures of fixed points of nonlinear mappings in arbitrary real Banach spaces.Methods The Ishikawa iteration with errors approximation methods for φ-semicontractive mapping.Results The convergence and stability theorem on the Ishikawa iterative sequence are given with errors for φ-semicontractive mapping.Conclusion The recent are improved and developed.

关 键 词：稳定性 Φ-半压缩映象 带误差的Ishikawa迭代 

分 类 号：O177.91[理学—数学]