This improves earlier results of J.J. Font and M.S. Monfared, where amenability of the groups or continuity of the linear maps are assumed.
The details of the permutation required to generate the permuted maps are assumed to have been worked out before data is combined.
For construction of an integrated linkage map, corresponding LGs between the parent-specific maps were assumed by identification of commonly mapped markers on each LG.
Based on computational approaches, it has been demonstrated that less distinctive cortical representations emerge as a typical outcome of age-related alterations, where distinctiveness of cortical maps was assumed to correlate with behavioral measures (Li and Sikstrom 2002).
So, if a flexible genetic architecture and non-linear mapping are assumed, not the phenotypic differentiation, but the genotypic differences underlying this differentiation are constrained under sexual reproduction.
Molecules put close together on the map are assumed to have similar functional properties (though it is not always possible to achieve in practice).
Mendelian inheritance and the Haldane mapping function were assumed for all loci.
Since a best proximity point reduces to a fixed point if the underlying mapping is assumed to be self-mappings, the best proximity point theorems are natural generalizations of the Banach contraction principle.
It is clear that a fixed point coincides with a best proximity point if d ( A, B ) = 0. Since a best proximity point reduces to a fixed point if the underlying mapping is assumed to be self-mappings, the best proximity point theorems are natural generalizations of the Banach's contraction principle.
One finds that best proximity point theorems are natural generalizations of the contraction principle to the case of non-self-mappings because a best proximity point reduces to a fixed point if the underlying mapping is assumed to be self-mapping.
