期刊文献+

CAT(0)空间中渐进非扩张映象的强收敛定理

The Strong Convergence Theorem of Asymptotically Nonexpansive Mappings In CAT(0) Spaces
下载PDF
导出
摘要 在CAT(0)空间中对三个渐进非扩张映像构造了迭代算法,在适当的条件下证明了该算法强收敛于它们的公共不动点,所得结果推广了最近一些学者的研究结论. The algorithm for solving the common fixed point problem of three asymptotically nonexpansive mappings wasstudied in CAT(0) spaces. Under suitable conditions the strong convergence theorem to approximating a common fixedpoint of three asymptotically nonexpansive mappings was proved. The results extend and improve the corresponding re-sults announced by some others.
作者 董建 唐金芳
出处 《宜宾学院学报》 2014年第12期7-10,共4页 Journal of Yibin University
基金 四川省教育厅项目(14ZA0271) 宜宾学院科研项目(2013YY06)
关键词 CAT(0)空间 渐进非扩张映像 强收敛定理 公共不动点 CAT(0) spaces asymptotically nonexpansive mappings strong convergent theorem common fixed point
  • 相关文献

参考文献1

二级参考文献9

  • 1Kirk W A. Geodesic geometry and fixed point theory II[ C]. Internation- al Conference on Fixed Point Theory and Applications, Yokohama Publi- cations, Yokohama, Japan, 2004:113-142. 被引量:1
  • 2Shahzad N, Markin J. Invariant approximations for commuting mappings in CAT(O ) and hyper convex spaces [ J ]. Journal of Mathematical Analy- sis and Applications, 2008, 337 (2) : 1457 - 1464. 被引量:1
  • 3Leustean L. A quadratic rate of asymptotic regularity for CAT(O) spaces [J ]. Journal of Mathematical Analysis and Applications, 2007, 325 (1) : 386 -399. 被引量:1
  • 4Shahzad N. Fixed point results for multimaps in CAT(O) Spaces[J]. Topology and Its Applications, 2009, 156 (5) : 997 -1001. 被引量:1
  • 5Tang J F, Chang S S, Lee H W J, et al. herative algorithm and A - convergence theorems for total asymptotically nonexpansive mappings inCAT(O) spaces [ J ]. Abstract and Applied Analysis, 2012, Article ID 965751, doi : 10.1155/2012/965751. 被引量:1
  • 6Agarwal R P, O' Regan D, Sahu D R. Iterative construction of fixed points of nearly asymptotically nonexpansive mappings [ J ]. Nonlinear Convex Anal, 2007, 8(1): 61 -79. 被引量:1
  • 7Sahin A, Ba sarlr M. On the strong convergence of modified s - iteration process for asymptotically quasi -nonexpansive mappings in CAT(O) space[J]. Fixed Point Theory and Applications 2013, doi: 10. 1186/ 1687 - 1812 -2013 - 12. 被引量:1
  • 8Dhompongsa S, Panyanak B. On A -convergence theorems in CAT(O) spaces [ J]. Comput Math Appl, 2008, 56 : 2572 - 2579. 被引量:1
  • 9Zhou H, Agarwal R P, Cho Y J, et al. Nonexpansive mappings and iter- ative methods in uniform/), convex Banach spaces[ J]. Georgian Math J, 2002, 9:591 -600. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部