Nonlinear Functional Analysis and Applications

  • 제28권4호
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  • Pages.929-942
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  • 2023
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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TOPOLOGICAL ERGODIC SHADOWING AND TOPOLOGICAL PSEUDO-ORBITAL SPECIFICATION OF IFS ON UNIFORM SPACES

  • Thiyam Thadoi Devi (Department of Mathematics, Manipur University) ;
  • Khundrakpam Binod Mangang (Department of Mathematics, Manipur University) ;
  • Lalhmangaihzuala (Department of Mathematics, Government Serchhip College)
  • 투고 : 2023.02.08
  • 심사 : 2023.03.11
  • 발행 : 2023.12.15
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초록

In this paper, we discuss topological ergodic shadowing property and topological pseudo-orbital specification property of iterated function systems(IFS) on uniform spaces. We show that an IFS on a sequentially compact uniform space with topological ergodic shadowing property has topological shadowing property. We define the notion of topological pseudo-orbital specification property and investigate its relation to topological ergodic shadowing property. We find that a topologically mixing IFS on a compact and sequentially compact uniform space with topological shadowing property has topological pseudo-orbital specification property and thus has topological ergodic shadowing property.

키워드

과제정보

We want to thank the anonymous referees for their valuable comments, suggestions, and remarks that contributed to the improvement of the initial version of the manuscript. We also thank University Grants Commission (UGC), New Delhi, India, for funding this article.

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