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In the ordinary fixed point theory, the underlying spaces are topological spaces.
It is worth to notice that Theorem 1.8 is a cyclical-type extension of the following ordinary fixed point theorem.
It is obvious that Theorem 1.12 is a cyclical-type extension of the following ordinary fixed point theorem.
The unperturbed flux is provided by an "on-the-fly" technique during the course of the ordinary fixed source calculation for the unperturbed system.
We also prove that the results from Theorem 1.5 and Theorem 1.6 are just equivalent to the respective ordinary fixed point results in the same framework.
If some ordinary fixed point theorem in the framework of metric (resp. b-metric) spaces has a true cyclic-type extension, then these two theorems are equivalent.
The ordinary fixed effects panel data model cannot capture this country/region-specific randomness of such variables and, thus, would leave many unobserved heterogeneities in the error terms, which would render biased estimates of the parameters.
However, in the present paper, we show that all these results established in [6] and [7] are in the fact equivalent with well-known ordinary fixed point results in literature.
In this last section, we investigate the similarity between most of the common coupled fixed point theorems and ordinary fixed point theorems in the context of G-metric spaces and we show that the former are immediate consequences of the latter.
This random effects model generalises the ordinary fixed-effects logistic (regression) model by assuming that the individual probabilities of maternal mortality are equal to the fixed-effects model plus random variation due to unobserved, or unmeasured, effects relating to the institution and country.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com