Sentence examples for many fixed points from inspiring English sources

Thus, all the conditions of Theorem 2.10 are satisfied and T has infinitely many fixed points, precisely Fix ( T ) = { 2 2 k : k ∈ N 0 }.

A smooth map ϕ : S n − 1 → S n − 1 with finitely many fixed points is transversely fixed if d ϕ p − I : T p ( S n − 1 ) → T p ( S n − 1 ) is a nonsingular linear map for each fixed point p. For F = { p 1, …, p r } a fixed point class of ϕ, let i ( F ) = ∑ j = 1 r i ( S n − 1, ϕ, p j ).

The operator has infinitely many fixed points.

In this case, T have infinitely many fixed points.

Note that T has infinitely many fixed points.

Hence, (g z)) has infinitely many fixed points.

Afterwards, many authors obtained many fixed point, common fixed point and common coupled fixed point theorems in cone b-metric spaces.

In the symmetric case, many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.

It is noticed in [35] that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.

It was observed that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.

It was observed that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of the existing fixed point theorems in metric spaces.