Common Fixed Point Theorem in Metric Spaces of Fisher and Sessa

Alireza Valipour Baboli, Mohammad Bagher Ghaemi


In this note it is shown that T and I have a unique common fixed point on a compact subset C of a metric space X,where T and I are two self maps on C; I is non-expansive and the pair (T; I)is weakly commuting. further we show this result by replacing compatibility instead of weakly commutativity pair(T; I) and continuity instead of non-expansiveness of I.


Common fixed point, commuting and compatible maps, compact space.

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