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Common Fixed Points for a Class of Commuting Mappings on an Interval

Common Fixed Points for a Class of Commuting Mappings on an Interval

Let C be a family of continuous commuting functions of an interval / into itself.If each function, except for possibly one, has an interval [a, b], a «S b, for its set of fixed points or does not have periodic points except fixed ones, then it is shown that C …