Sentence examples for mappings with the from inspiring English sources
On the other hand, Asl et al. [22] characterized the notions of α-ψ-contractive mapping and α-admissible mappings with the notions of α ∗ -ψ-contractive and α ∗ -admissible mappings to investigate the existence of a fixed point for a multivalued function.
The most significant group is a pair of sites (109, 110), detected using the unweighted mapping and the volume, polarity and Grantham weighted mappings with the correlation statistic.
Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each,, and for each.
It then shows how one may splice the FR↔DP mappings with the FR↔ÐP mappings.
The performances of the developed models have been tested for both forward and reverse mappings with the help of some test cases collected through the real experiments.
In the case of two contradictory objectives, our genetic operators can still help at providing the mappings with the lowest communication energy.
Let be a maximal monotone mapping, be a sequence of nonexpansive mappings with, be the nonexpansive mapping defined by (2.5), and be a bifunction satisfying conditions.
It is worth mentioning that the results established for total asymptotically nonexpansive mappings are applicable to the mappings associated with the class of asymptotically nonexpansive mappings and which are extensions of nonexpansive mappings.
Now, we prove strong convergence theorems for asymptotically nonexpansive nonself-mappings with the condition (BP) in real uniformly convex Banach spaces.
Second, we consider a simple iteration and prove some strong convergence theorems of the proposed iteration for an asymptotically nonexpansive nonself-mapping with the condition (BP).
end{aligned} It follows from the mathematical induction that T is an asymptotically nonexpansive nonself-mapping with the sequence ({h_{n}}) defined by (h_{n}=1) for each ≥1 and (F(T ={(frac {1}{2},0,ldots,0)}).
