Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (2): 321-333.

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Iteration of a Class of Separable Markov Mappings

Nizhou Li(),Siyi Zhao(),Jialing Zhang*()   

  1. School of Mathematics, Southwest Jiaotong University, Chengdu 611756
  • Received:2023-12-23 Revised:2024-12-23 Online:2025-04-26 Published:2025-04-09
  • Contact: Jialing Zhang E-mail:pinkfloweryaky@163.com;zhaosiyi350@163.com;matzjl@163.com
  • Supported by:
    Fundamental Research Funds for the Central Universities(202310613061)

Abstract:

Iteration is a simple repetition of the same operation. However, it may be complex in some simple mappings such as polynomial mappings. In this paper, we discuss the iteration of a special class of nonmonotonic mappings called Markov mappings, and give the concrete expressions of iteration of the mappings which have either one, or two, or finitely many nonmonotonic points respectively.

Key words: iteration, Markov mapping, piecewise monotone mapping, fixed point

CLC Number: 

  • O171
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