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The class of asymptotically quasi-ϕ-nonexpansive mappings that was studied in [24] and [25] includes the class of quasi-ϕ-nonexpansive mappings as a special cases.
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We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries.
To improve the quality of the mate pair mappings, we filter the mappings so that we only keep mappings that are consistent with other mate pairs mapping to approximately the same location.
Given two pathway representations, we need to formalize the types of mappings that are allowed under the one-to-many mapping restrictions.
Exhaustive combinations of distance and angle constraints, on one point or all points of curves and surfaces, as well as transformations and mappings that are required in mechanical design are included in the proposed taxonomy and representation.
There exist quasi-nonexpansive mappings that are not nonexpansive.
We conclude with an application of Theorem 6.4 to mappings that are not necessarily continuous.
Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing.
However, in other cases a larger set of mappings that are fully schedulable on active cores has been identified.
In the following example, we show that there exist mappings that are weakly Kannan mappings in the sense of Definition 12 that are not weakly Kannan mappings in the sense of Definition 8.
As noted above, though, ACME's procedure is to generate nodes for all possible mappings that are syntactically appropriate, and then determine which mappings are correct through the process of settling the analogy network.
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