Talk:Common fixed point problem

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	This article was accepted from this draft on 15 October 2024 by reviewer Chaotic Enby (talk · contribs).

Mathematics

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The following Wikipedia contributor has declared a personal or professional connection to the subject of this article. Relevant policies and guidelines may include conflict of interest, autobiography, and neutral point of view.

WillisBlackburn (talk · contribs) This user has declared a connection. (William M. Boyce, one of the two mathematicians who solved this problem, is my father.)

I believe that this subject is notable due to:

The significant amount of attention given to the problem during the period when it was unsolved, as evidenced by the sources
The publication of articles and papers about the problem even decades after it was solved (the articles by Brown and McDowell, and the master's thesis by McCroskey)
The continued relevance of Baxter permutations, which arose directly from research into this problem
References to the work of Boyce and/or Huneke in recent research, e.g., "On distal flows and common fixed point theorems in Banach spaces" (https://doi.org/10.1016/j.jmaa.2022.126995), published in 2023, references the "Commuting functions with no common fixed point" paper
Showing up on Math StackExchange and other sites from time to time (e.g., https://math.stackexchange.com/questions/4413605/continuous-function-on-the-unit-interval-with-commuting-compositions)