Sentence examples for there exists a common from inspiring English sources

If { T i } i ∈ I is a commuting family and S is affine, then there exists a common fixed point for the mappings in { T i } i ∈ I.

(4) If { T i } i ∈ I is a commuting family and S is affine, then there exists a common fixed point for the mappings { T i } i ∈ I.  .

At this point, the general agreement was that there exists a common but differentiated responsibility when it comes to addressing emissions, and developed countries should lead in reducing their own emissions before developing countries are called upon to reduce theirs.

(2) If { T i } i ∈ I is a commuting family and S is affine, then there exists a common fixed point for the mappings in { T i } i ∈ I.  .

If { T i } i ∈ I is a commuting family and S is affine, then there exists a common fixed point for the mappings { T i } i ∈ I. Theorem 2.5 (see [4]).

Let S, T : X → X be two strictly weakly increasing mappings with respect to ≤ and T be a generalized almost -contraction with respect to S. If either S or T is continuous, then there exists a common fixed point of S and T in X. Proof Let x 0 be an arbitrary point in X.

Although the term software component has become commonplace, there is no universally accepted definition of the term, nor does there exist a common foundation for specifying various kinds of components and their compositions.

Next, Judge Mazzant determined that there existed a common enterprise since the investors were dependent on Shavers' purported expertise in Bitcoin markets and local connections, and investors were promised a substantial return from these efforts.

Prior to the enactment of Florida's 2005 "Stand Your Ground" law, there existed a common law right to self-defense in the home: the "Castle Doctrine".

If one of T or h is continuous, then there exists a unique common fixed point of T and h.

More precisely, since N p is a tree, there exists a most recent common ancestor m = mrca u, v; N p), a directed path P1 given by m = u0, u1,..., u k = u from m to u, and a directed path P2 given by m = v0, v1,..., v j = v from m to v. Define d (u, v ; N p ) = ∑ ω (u i, u i + 1 ) : i = 0, ⋯, k - 1 + ∑ ω (v i, v i + 1 ) : i = 0, ⋯, j - 1.