Sentence examples for has only one fixed from inspiring English sources

Invoking the Banach fixed point theorem, the operator P has only one fixed point x ϵ = P ( x ϵ ), i.e., x ϵ is the uniform solution of (3.4).

Conversely, if f has only one fixed point then the set of fixed point of f being singleton is well ordered.

where (f Irightarrowmathbb{X}) is a function defined on an interval (Isubseteq{mathbb{R}}), (mathbb{X}) is a Banach space and (beta :Irightarrow I) is a strictly increasing continuous function defined on I, which has only one fixed point (s_{0}in{I}) and satisfies the inequality: ((t-s_{0})(beta(t -t leq0) for all (t -t leq0

In this paper, we presented a general quantum difference operator ({D}_{beta}f(t)= frac{f(beta(t))-f(t)}{beta(t -t}), where β is a st -t}ly increasing continuous function defined on (Isubseteq {mathbb{R}}) where has only one fixed point (s_{0}in{I}).

Then T has only one fixed point in (P^{0}).

Therefore K has only one fixed point, which implies that problem (1.1) has a unique solution.

Since the objective function has only one minimum for fixed and, the recursion converges to the global result.

No one believes that the Administration has only one problem to fix or only one target on which monies must be spent.

Then we can construct a graph G' by doubling one edge in G and a map f': G' → G' such that f' is homotopic to the identity and such that f' restricted to G equals f and such that f' has only one other periodic point-a fixed point.

If the number of parameters is a concern, global IDW has only one parameter which can remain fixed at c=8 for all practical purposes.

In contrast to D. mojavensis, which is fixed for five species-specific inversions, D. arizonae has only one [ 51].