Sentence examples for imposed on the mapping from inspiring English sources

No assumption (widehat{F}(T =F(T)) is imposed on the mapping T in reflexive Banach space setting.

Recently, Fan and Zhong [39] extended the corresponding results of He [38] to the case that the perturbation was imposed on the mapping and the constraint set simultaneously.

No assumption F ˆ ( T ) = F ( T ) is imposed on the mapping T. Consequently, the above concern is answered in the affirmative in reflexive Banach space setting.

No assumption (hat{F}(T =F(T)) is imposed on the mapping T. Consequently, the above question is answered in the affirmative in a reflexive Banach space setting.

The interest and importance of Theorem IS lie in the fact that strong or weak convergence of the sequence can be achieved under certain appropriate assumptions imposed on the mapping, the domain or the space.

Also, in our results the mapping g is not required to be continuous, but the condition is imposed on the mapping g in the results of Sedghi et al. and Hu.

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.

The SaTScan™ imposes on the map circular windows positioned on regular (such as GAM) or irregular grid (defined by the observed point locations).

It's as if Berlin lay prostrate to history for so long that every idea and its opposite have been imposed on the city map.

A priori constraints have been imposed on the final maps.