Sentence examples for imposed on the operator from inspiring English sources

We first consider the case where the compactness condition is imposed on the operator S.

We observe that strong convergence result can be obtained in the results of Moudafi [5] if a compactness-type condition like demicompactness is imposed on the operator S. Furthermore, we can also obtain a strong convergence result by suitably modifying algorithm (1.6).

The total fines imposed on the operators amounted to 1.17 billion Nigerian naira, or an average of about $2 million per operator.

In 2007, Wang [10] introduced an explicit hybrid iteration method for nonexpansive mappings in Hilbert space; and then Osilike et al. [11] extended Wang's results to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator.

For a nonnegative self-adjoint operator A0 acting on a Hilbert space H singular perturbations of the form A0+V, V="∑1nbij〈ψj,⋅〉ψi are studied under some additional requirements of symmetry imposed on the initial operator A0 and the singular elements ψj.

We prove that recent results of Wang (2007) concerning the iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator.

In contrast with related processes, our method does not require any demiclosedness principle condition imposed on the involved operators belonging to the wide class of quasi-nonexpansive operators.

In addition, our scheme in Theorem 4.1 has an advantage that it does not require any demiclosedness principle condition imposed on the involved operators belonging to the wide class of quasi-nonexpansive operators.

In contrast with other related processes, our method does not require any demiclosedness principle condition imposed on the involved operators belonging to the vide class of quasi-nonexpansive operators.

This model can be used to analyze how the tariff structure imposed on the CO2 pipeline operator modifies the overall cost of CO2 abatement via CCS.

(1.3) As we know, it is very necessary that some structural and regular assumptions are imposed on the tensorial-valued operator (A x,u)) and the inhomogeneity (B x,u,Du)).