Sentence examples for have a common endpoint from inspiring English sources
Therefore, T and S have a common endpoint.
It is clear that, if T and S have a common endpoint, then they have the common approximate strict fixed point property.
We make the partition [ a 1, a 2 ] = ⋃ i = 1 n [ ( a 1 ) n i, ( a 2 ) n i ] where all subsegments have the same length ( a 2 − a 1 ) / n, and the adjacent subsegments have a common endpoint.
The map (T^{2}) satisfies all conditions of Theorem 3, which yields the existence of the global stable manifolds (mathcal{W}^{s}({(Phi_{1},Psi_{1}),(Psi_{1},Phi_{1})} )), the union of two curves (mathcal{W}^{s}(Phi_{1},Psi_{1})) and (mathcal{W}^{s}((Psi_{1},Phi_{1}))) that have a common endpoint (E_).
The global unstable manifold (mathcal{W}^{u}(E_)) of (E_) is the graph of a continuous strictly increasing function such that (mathcal{W}^{u}(Phi_{2},Psi_{2})) and (mathcal{W}^{u}(Psi_{2},Phi _{2})), and (mathcal{W}^{u}(E_)) have a common endpoint at ((bar {x}_,bar{x}_)).
Quality of Life has become a common endpoint in clinical research on cancer treatment.
If the given endpoint interpolating CBSCs have a common tangent plane at the meeting point, the resulting Loop surface will be G1 continuous.
Then, by using this and the related results, we prove that two generalized weak contraction multi-valued mappings have a unique common endpoint if and only if either they have the usual approximate endpoint property or they have the common approximate strict fixed point property.
By using the separation theorem obtained in Section 3 and the results in Section 4, we prove that two generalized weak contraction multi-valued mappings have a unique common endpoint if and only if either they have the usual approximate endpoint property or they have the common approximate strict fixed point property.
Then T and S have a unique common endpoint if and only if they have the common approximate strict fixed point property.
