Sentence examples for imposed on maps from inspiring English sources
The advantage of projection methods is that strong convergence of iterative sequences can be guaranteed without any compactness assumptions imposed on maps or subsets of spaces.
Rather, compactness is imposed on the maps.
(ii) No continuity assumption is imposed on our maps.
The 3D engine - created by the Road Rash 3DO team - used satellite images of real topography, imposed on polygonal maps.
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.
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.
