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The dynamical model and Poincaré maps are established.
In echolocating bats, computational maps are established that topographically represent the distance of objects.
In this paper, the concept of weak α-contraction type maps is introduced, and some new fixed point theorems for these maps are established.
Shared maps are established through a process of "territorial hysteresis" in which the environmental dominants emerge, the significant places, non-negotiable values and elements of long duration (in particular the relations) that have always presided over the space organisation of a society.
Consequently citrus genetic maps are established on F1 progenies at interspecific [ 25], and intergeneric levels [ 26- 31].
Finally, these maps are established on the basis of subjective criteria for the definition of cortical borders.
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About one million of them are still getting flood insurance for less than half price because the house was built before the flood hazard maps were established.
Stability of the gap for certain maps was established by Nakano Wittsten [195].
Under the HapMap project, haplotype maps were established using tag SNPs.
Then, a chaotification theorem based on the snap-back repeller theory for maps is established.
An existence result for problem (1.1), based on a nonlinear alternative for contractive maps, is established in Section 3.
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