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Then a mapping m∈?? (with 𝕄 as the set of all mappings) is defined as the tuple By this definition, a mapping m represents a combination of measurements together with its metadata and a set of attributes.
The notion of (alpha - psi) contractive mappings is defined in a complete metric space in [8].
Let be self-mappings of and suppose that, the set of common fixed points of An implicit iteration process for a finite family of nonexpansive mappings is defined as follows with a real sequence in, : (1.4).
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Let the mappings ;,, be defined by (3.4).
These mappings are defined as follows.
The transformation from PIM to PSM could be done automatically if necessary mappings are defined.
In [9], monotone nonexpansive mappings are defined in (L_{1}[0,1]).
Also some useful mappings are defined connected to this inequality see in [4 6].
These classes of mappings are defined for multi-valued mappings in complete metric spaces endowed with directed graphs.
The concepts of weak and φ-weak contractive mappings were defined by Daffer and Kaneko [5] in 1995.
Let the mappings ;,, be defined by (3.4) If ;,, with ;, there is which is unique if is complete.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com