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强一致收敛下弱几乎周期点和周期序列跟踪性的研究

冀占江 张更容

冀占江, 张更容. 强一致收敛下弱几乎周期点和周期序列跟踪性的研究[J]. 华南师范大学学报(自然科学版), 2021, 53(2): 110-113. doi: 10.6054/j.jscnun.2021033
引用本文: 冀占江, 张更容. 强一致收敛下弱几乎周期点和周期序列跟踪性的研究[J]. 华南师范大学学报(自然科学版), 2021, 53(2): 110-113. doi: 10.6054/j.jscnun.2021033
JI Zhanjiang, ZHANG Gengrong. On the Weakly Almost Periodic Point and the Periodic Sequence Shadowing Property Under Strongly Uniform Convergence[J]. Journal of South China normal University (Natural Science Edition), 2021, 53(2): 110-113. doi: 10.6054/j.jscnun.2021033
Citation: JI Zhanjiang, ZHANG Gengrong. On the Weakly Almost Periodic Point and the Periodic Sequence Shadowing Property Under Strongly Uniform Convergence[J]. Journal of South China normal University (Natural Science Edition), 2021, 53(2): 110-113. doi: 10.6054/j.jscnun.2021033

强一致收敛下弱几乎周期点和周期序列跟踪性的研究

doi: 10.6054/j.jscnun.2021033
基金项目: 

国家自然科学基金项目 11461002

广西壮族自治区自然科学基金项目 2020JJA110021

湖南省自然科学基金项目 2018JJ2074

2020年度广西壮族自治区高校中青年教师基础能力提升项目 2020KY17007

梧州学院校级重点项目 2020B007

详细信息
    通讯作者:

    张更容,Email:18152853519@163.com

  • 中图分类号: O189.11

On the Weakly Almost Periodic Point and the Periodic Sequence Shadowing Property Under Strongly Uniform Convergence

  • 摘要: 在强一致收敛下,研究了弱几乎周期点和周期序列跟踪性,得到弱几乎周期点和周期序列跟踪性的若干结论: (1)设序列映射{fn}强一致收敛于等度连续映射f,且点列{xk}是每个映射fn的弱几乎周期点. 若$\mathop {\lim }\limits_{k \to \infty } {x_k} = x$,则xf的弱几乎周期点. (2)若序列映射{fn}强一致收敛于等度连续映射f,则limsup W(fn)⊂W(f). (3)若fn具有fine周期序列跟踪性,则f具有周期序列跟踪性.
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出版历程
  • 收稿日期:  2020-08-05
  • 网络出版日期:  2021-04-29
  • 刊出日期:  2021-04-25

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