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The Lefschetz fixed point theorem generalizes a collection of fixed point theorems for different topological spaces.
(Monotone principle of fixed point).
Now, we state the following notion of fixed point theorem.
The uniqueness of fixed point of is clear from (1.2).
We denote by the set of fixed point of.
Finally, the existence of fixed point follows from Theorem 5.
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The success of fixed-point iterations relies on contraction properties of the function to be iterated.
By using a variety of fixed-point theorems, some new existence and uniqueness results are obtained.
The use of fixed-point arithmetic introduces an unavoidable quantization error when a signal is quantified.
The next three papers deal with the efficient design of fixed-point IP cores.
As shown in Figure 10, the number of fixed-point attractors increases with the number of learned mappings.
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