Sentence examples for imposed on the mappings from inspiring English sources

The wedge under consideration is not assumed to be a cone, nor any continuity conditions are imposed on the mappings considered.

For suitable and appropriate conditions imposed on the mappings C, N, H, D, T, A, M, η and g and by means of the fixed point theorem, we establish some existence results of solutions for the problem ( P ).

We obtain a strong convergence theorem for the sequences generated by the proposed method without the assumption of compactness of the domain and other conditions imposing on the mappings.

But it is worth mentioning that, in all the above results for Bregman nonexpansive type mappings, the assumption (hat{F}(T =F(T)) is imposed on the map T. So, the following question arises naturally in a Banach space setting.

Rather, compactness is imposed on the maps.

A priori constraints have been imposed on the final maps.

Moreover, it extends Theorem 1 in [14] from the case of a single nonexpansive mapping to that of an infinite family of nonexpansive mappings, and relaxes the restrictions imposed on the parameters in [14], Theorem 1].

Figure 8 Workload imposed on the server.

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.

The electric potential field is imposed on the ionosphere.

The restrictions imposed on the sequence are mild.