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The mapping f has two fixed points (A and D).
As a result, due to Theorem 2.7, the mapping f has a fixed point.
Then the mapping F has a unique multipled fixed point ( x ∗, …, x ∗ ) ∈ X m.
Then the mapping F has a unique tripled fixed point of the form ( u, u, u ).
Then the mapping F has a unique coupled fixed point of the form ( u, u, u ).
It follows that T has a fixed point, and by Lemma 38, the mapping F has a coupled fixed point.
Similar(28)
In recent years, many numerical methods for problem (1.1) with smooth mapping F have been proposed.
In reference [1], the authors proved that the mapping f had a unique fixed point when f was a multiplicative contraction.
The map f has a fixed point by Theorem 26.
The map f has no essential periodic orbit classes of any period.
Here, a map f has order of contact k if f z)=l z)+O ∥z∥ k ), where l z) is linear.
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