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Banach空间中渐近非扩张型半群殆轨道的遍历定理
Ergodic theorem of the almost-orbits for asymptotically nonexpansive type semigroups in Banach spaces
【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.
【Abstract】 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.
【关键词】 Banach空间;
渐近非扩张型半群;
τ-收敛;
遍历定理;
【Key words】 Banach space; asymptotically nonexpansive type semigroups; τ-convergence; ergodic theorem;
【Key words】 Banach space; asymptotically nonexpansive type semigroups; τ-convergence; ergodic theorem;
【基金】 国家自然科学基金资助项目(10571150)
- 【文献出处】 扬州大学学报(自然科学版) ,Journal of Yangzhou University(Natural Science Edition) , 编辑部邮箱 ,2007年03期
- 【分类号】O177.91
- 【被引频次】4
- 【下载频次】46