Sentence examples for a coupled point from inspiring English sources

Then ( g u, g u ) is a coupled point of coincidence, and also we have ( u, u ) is a coupled point of coincidence.

Then a coupled point of A is a fixed point of T and vice versa.

Hence, ( g x, g y ) is a coupled point of coincidence of mappings F and g.

Thus, ( g x, g x ) is a coupled point of coincidence of mappings F and g.

Therefore, ( g x, g x ) is a coupled point of coincidence of mappings F and g.

Here ( g x, g y ) is called a coupled point of coincidence.

(1)a coupled fixed point of a mapping if and, (2)a coupled coincidence point of hybrid pair if and and is called coupled point of coincidence, (3)a common coupled fixed point of hybrid pair if and.

Lemma 4.6 [23] (A coupled fixed point is a fixed point).

Note that if is a coupled fixed point of, then is also a coupled fixed point of the mapping.

Then T has a coupled fixed point.

Then F has a coupled fixed point.