Sentence examples for using this result we from inspiring English sources

Using this result, we derive a sharp criterion for no blow-up.

Using this result we proved that CHORDAL- 2,1 -SP is in NP-CHORDAL- 2,1 -SP

Using this result, we improve and unify several results in fixed point problems and equilibrium problems.

Using this result we establish that quasisimilar -quasihyponormal operators have equal spectra and essential spectra.

Using this result, we obtain some applications in a Banach space.

Using this result, we obtain new and well-known strong convergence theorems in a Hilbert space.

Using this result and properties of the function we have (37).

Now by using this key result, we provide our main results which give positive answer to the question.

Using this scalarization result, we discuss the connectedness of ε-weak efficient and ε-efficient solutions sets for VEPs under some suitable conditions in real Hausdorff topological vector spaces.

Making use of this result we are in a position to give a condition on modulus f under which the converse holds.

We use this result to justify a recursive procedure of solving the stability of equation (1.1) and we prove the equivalence of equations (1.1), (1.2), and (1.4).