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Banach空间中渐近非扩张型半群殆轨道的遍历定理 被引量：4

Ergodic theorem of the almost-orbits for asymptotically nonexpansive type semigroups in Banach spaces
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摘要 X是一Banach空间,(X,τ)是局部凸线性拓扑空间,C是X上的τ-序列紧凸集,S是C上的Γ类渐近非扩张型半群,在一致τ-Opial条件下给出了半群S的殆轨道u的遍历定理. Let X be a Banach space, （X,τ） be a locally convex linear topological space, C a τ-sequence compact convex subset of X, and S an asymptotically nonexpansive type semigroups from C onto itself, this paper gives the ergodic theorem of the almost-orbits for asymptotically nonexpansive type semigroups in Banach space X.
作者 凡震彬 嵇绍春 李刚
机构地区 扬州大学数学科学学院
出处 《扬州大学学报（自然科学版）》 CAS CSCD 2007年第3期19-21,24,共4页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(10571150)
关键词 BANACH空间 渐近非扩张型半群 τ-收敛 遍历定理 Banach space asymptotically nonexpansive type semigroups τ-convergence ergodic theorem
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献9

  • 1BAILLON J B. Un theoreme de type ergodique les contraction non lineaires dans un espace de Hilbert [J]. C R Acad Sci Ser A-B, 1975, 280.. 1511-1514.
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  • 9陈玉会,李刚.τ-拓扑下的不动点定理[J].扬州大学学报（自然科学版）,2006,9(1):15-17. 被引量：2

二级参考文献9

  • 1GOEBEL K,KIRK W.A fixed point theorem for asymptotically nonexpansive mappings[J].Proc Amer Math Soc,1972,35:171-174.
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  • 8顾文颖,李刚.正规结构与不动点定理[J].扬州大学学报（自然科学版）,2003,6(4):4-7. 被引量：1
  • 9曾六川.Banach空间中带误差的修改的Ishikawa迭代程序[J].数学学报（中文版）,2004,47(2):219-228. 被引量：16

共引文献1

同被引文献16

  • 1陈玉会,李刚.τ-拓扑下的不动点定理[J].扬州大学学报（自然科学版）,2006,9(1):15-17. 被引量：2
  • 2Li G, Kim J K. Nonlinear ergodic theorems for general curves defined on general semigroups [ J ]. Nonlinear Analysis, 2003,55( 1 ) :1 - 14.
  • 3Lin P K, Tan K K, Xu H K. Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings [ J ]. Nonlinear Analysis, Theory, Methods & Applications, 1995,24( 6 ) : 929 - 946.
  • 4Day M M. Amenable semigroups [ J ]. Illinois Journal of Mathematics, 1957,1( 1 ) : 547 -551.
  • 5Bruck R E. On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak w-limit set [ J ]. Isreal Journal of Mathematics, 1978, 29(1): 1-17.
  • 6Baillon J B. Un theoreme de type ergodique les contraction non lineaires dans un espace de Hilbert [J]. C R Academy of Sciences, Series A-B, 1975, 280( 1 ) : 1511 - 1514.
  • 7Isao M, Kohayasi K. On the asymptotic behavior of almost-orbits of nonlinear contraction semigroups in Ba- nach space [ J ]. Nonlinear Analysis, Theory, Methods & Applications, 1982,6 ( 4 ) : 349 - 365.
  • 8Seyit T, Ozlem G. Convergence theorem for I-asymptotically quasi-nonexpansive mapping in Hilbert space [ J ]. Journal of Mathematical Analysis and Applications, 2007, 329 ( 1 ) : 759 - 765.
  • 9Nishium K. Asymptotic behavior of almost-orbits of asymptotically nonexpansive semigroups in Banach spaces [ J ]. Journal of Nonlinear and Convex Analysis, 2000,1 ( 1 ) :95 - 105.
  • 10Li G, Kim J K. Nonlinear ergodic theorems for commutative semigroups of non-lipschitzian mappings in Banach spaces [ J ]. Houston Journal of Mathematics, 2003, 29 ( 1 ) :231 - 246.

引证文献4

二级引证文献6

扬州大学学报（自然科学版）
2007年 第3期

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