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Finding the roots of real valued monotonically increasing function mappings is the solution to a particular class of functional equation.
since is a monotonically increasing function.
Furthermore, L is a monotonically increasing function.
Notice that it is a monotonically increasing function.
Hence ( {mu}_1^ ) is a monotonically increasing function of λ.
where is a strictly positive and monotonically increasing function.
Here (thetain[0,2 pi]) is a monotonically increasing function.
One observes that is a monotonically increasing function of a user's SINR for both air interfaces.
As is easy to see, (tau_{k}) is a monotonically increasing function when (krightarrowinfty).
Since, from (25) it is obvious that is a monotonically increasing function of.
It follows from (31) that (omega varepsilon)) is a negative monotonically increasing function.
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