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Uniqueness of the point of coincidence implies (z=fz=Tz).
This proves the uniqueness of the point of coincidence.
The uniqueness of the point of x follows from the fact that is separating.
(2.35) The uniqueness of the point of coincidence implies (w=fw=Tw).
In what follows, we give a sufficient condition for the uniqueness of the point in Theorems 2.3 and 2.4.
Therefore, w is a point of coincidence of T and F. The uniqueness of the point of coincidence is a consequence of condition (2.3).
Similar(48)
Finally, to prove the uniqueness of the fixed point, let μ be another fixed point of f.
The existence and uniqueness of the fixed point (f^) follows from the Banach fixed point theorem.
Then x ∗ is a fixed point of T. Step V. Uniqueness of the fixed point.
Finally, to prove the uniqueness of the fixed point, let μ be the another fixed point of f.
Step 4. Finally, to prove the uniqueness of the fixed point, suppose that μ, ν are fixed points of f.
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