Talk:Common fixed point problem
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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)