摘要
目的是把对单个渐近T为压缩映射的迭代结果推广到有限个渐近T为压缩映射上.为此,利用数学归纳法的思想,在一定条件下,得出了有限个渐近T为压缩映射强收敛于其公共不动点的结论.此结论推广了以前的结果.
The objective of this article is extending the results of single asymptotically pseudocontractive mapping to a finite family asymptotically pseudocontractive mapping in Banach space under some conditions. The results for the strong convergence to a common fixed point of a finite family asymptotically pseudo-contractive mapping are proved in an arbitrary real Banach space. The results presented extend and improve the previous work.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第12期161-165,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(10671207)
河北省自然科学基金项目(2007000225)
关键词
渐近伪压缩映射
一致李普希兹映射
公共不动点
asymptotically pseudocontractive mapping
uniformly L-Lipsohitzian mapping
common fixed point
