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STEIN: That would be a unique common cause.
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Further 0 is a unique common fixed point of T.
Thus is a unique common fixed point of, and.
Therefore, z is a unique common fixed point of S, T, A, and B. □.
Therefore, z is a unique common fixed point of S and T. This completes the proof.
Applying Theorem 2.1, we can suppose that is a unique common fixed point of.
Therefore, u is a unique common fixed point of S and T. □.
Therefore, u is a unique common fixed point of f, g, and h.
Thus g ( z ) is a unique common fixed point of f and g. □.
Consequently, z is a unique common fixed point of f and T. □.
Thus, ( u, u ) is a unique common coupled fixed point of mappings F and g.
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