Sentence examples for condition for the uniqueness from inspiring English sources

For all x, y ∈ Fix ( T ), we have α ( x, y ) ≥ 1, where Fix ( T ) denotes the set of fixed points of T. Theorem 10 Adding condition (U) to the hypotheses of Theorem 8 (resp. Theorem 9), we find that u is the unique fixed point of T. As an alternative condition for the uniqueness of a fixed point of a α-ψ contractive mapping, we shall consider the following hypothesis.

Next theorem gives a sufficient condition for the uniqueness of the fixed point.

In this section, we study the necessary condition for the uniqueness of a coupled fixed point.

We provide now a sufficient condition for the uniqueness of the fixed point.

This proves that condition is not a necessary condition for the uniqueness of the fixed point.

We give a sufficient condition for the uniqueness of L1-continuation blowup blowup for p>pJL in the radial case.

Such representation permits the derivation of sufficient conditions for the uniqueness of the solution.

Finally, we focus on the sufficient conditions for the uniqueness of the GNE.

In this section, we present conditions for the uniqueness and Ulam stability of problem (1).

Sufficient conditions for the uniqueness are presented in Remark 2.3 below.

Also we give some sufficient conditions for the uniqueness of a common coupled fixed point.