期刊文献+

关于有限个中间意义的渐近非扩张映射的收敛定理(英文)

Convergence Theorems for a Finite Familyof AsymptoticallyNonexpansive Mappings in the Intermediate Sense
下载PDF
导出
摘要 本文引入一个新的带有误差项的有限个中间意义的渐近非扩张映射的迭代序列,在一致凸Banach空间中证明了新迭代序列的强收敛和弱收敛定理. In this paper,a new iterative process with errors for a finite family of asymptotically nonexpansive mappings in the intermediate sense is introduced,and strong and weak convergence theorems for the new iterative scheme are proved in uniformly convex Banach spaces.
出处 《应用数学》 CSCD 北大核心 2013年第3期544-553,共10页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11271282) the Planning Project Foundation of Graduate Scientific Research the Innovation of Suzhou University of Science and Technology(SKCX11S_053)
关键词 一致凸BANACH空间 渐近非扩张映射 Frechet可微范数 Kadec—Klee性质 公共不动点 Uniformly convex Banach space Asymptotically nonexpansive mapping Frechet differentiable norm Kadec-Klee property Common fixed point
  • 相关文献

参考文献14

  • 1Chidume C E,Li J,Udomene A. Convergence of paths and approximating of fixed points of asymptotically nonexpansive mappings[J].{H}Proceedings of the American Mathematical Society,2005.473-480.
  • 2CHEN Weixu,GUO Weiping. Convergence theorems for two finite families of asymptotically nonexpansive mappings[J].{H}Mathematical and Computer Modelling,2011.1311-1319.
  • 3Falser J G,Kaczor W,Kuczumow T,Reich S. Weak convergence theorems for asymptotically nonexpansive mappings and semigroups[J].Nonlinear Anal,2001.377-401.
  • 4Goebl K,Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping[J].{H}Proceedings of the American Mathematical Society,1972.171-174.
  • 5Goebel K,Kirk W A. Topics in metric fixed point theory[A].{H}Cambridge:Cambridge University Press,1990.
  • 6GUO Weiping,GUO Wei. Weak convergence theorems for asymptotically nonexpansive nonself-mappings[J].Appl Math Lett,2011.2181-2185.
  • 7Imnang S,Suantai S. Approximating common fixed points for a finite family of non-Lipschitzian mappings in Banach spaces[J].Journal of Math Analysis,2009.1745-1759.
  • 8Kirk W A. Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type[J].{H}Israel Journal of Mathematics,1974.339-346.
  • 9Nammanee K,Noor M A,Sceantai S. Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings[J].{H}Journal of Mathematical Analysis and Applications,2006.320-334.
  • 10Nammanee K,Sceantai S. The modified Noor iterations with errors for non-Lipschitzian mapping in Banach spaces[J].Appl Math Comput,2007.669-679.

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