We study continuous maps of the unit interval into itself. We determine necessary and suffcient conditions so that all pseudo-orbits can be approximated by orbits with the same initial point.
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James O. Warren and Joseph H. Brown, The Strong Shadowing Property on the Unit Interval, Furman University Electronic Journal of Undergraduate Mathematics, 4 (2016), 9-14. Available at: http://scholarexchange.furman.edu/fuejum/vol4/iss1/2