论文标题

固定点和连续性的半播种动作

Fixed Points and Continuity of Semihypergroup Actions

论文作者

Bandyopadhyay, Choiti

论文摘要

在以前的几篇论文中,我们启动了一项系统的半合格组研究,并就与此类对象相关的某些分析和代数方面进行了详尽的讨论。在本文中,我们介绍和检查(分别)对半正属组类别的连续行动。特别是,我们讨论了此类动作的连续性属性,并探讨了某些动作的不同定点属性与在半hirypergroup上几乎周期性函数的空间上的不同定点属性之间的等价关系。

In a couple of previous papers, we initiated a systematic study of semihypergroups and had a thorough discussion on certain analytic and algebraic aspects associated to this class of objects. In this article, we introduce and examine (separately) continuous actions on the category of semihypergroups. In particular, we discuss the continuity properties of such actions and explore the equivalence relations between different fixed-point properties of certain actions and the existence of left-invariant mean(s) on the space of almost periodic functions on a semihypergroup.

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