Sentence examples for imposed on the parameter from inspiring English sources

Under appropriate conditions imposed on the parameter sequences we will prove strong convergence of the proposed algorithm.

Under some appropriate conditions imposed on the parameter sequences, we will prove strong convergence of the proposed algorithm.

Under mild conditions imposed on the parameter sequences we will prove weak convergence of the proposed algorithm.

Under mild conditions imposed on the parameter sequences { α n }, { β n } and { γ n }, we prove the strong convergence of { x n } to a common fixed point of a countable family { T n } of uniformly Lipschitz generalized strict pseudocontractions.

Remark 3.4 Corollary 3.3 improves the corresponding results in Zhou [26] from 2-uniformly smooth Banach spaces to q-uniformly smooth Banach spaces and relaxes the restrictions imposed on the parameter { λ i } in Zhang and Su [27].

Remark 3.7 As pointed out in [22], Remark 2.1], the mild conditions are imposed on the parameter sequence { λ n }, which are different from those in [8, 11, 18, 23].

Strong convergence theorems are established under mild restrictions imposed on the parameters.

A strong convergence theorem is established under appropriate conditions imposed on the parameters.

The bindings previously imposed on the parameters in (19) ensure that PCOLL * and XCOLL * are positive.

Further conditions can be eventually imposed on the parameters so as to design filters for specific applications.

We will prove a strong convergence result for Algorithm 1.1 under suitable restrictions imposed on the parameters.