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Now, we recall some basic definitions about the Sobolev spaces.
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Next, we recall some basic definitions about soft sets and the results from the literature.
The basic definitions about coincidence points, g-orbital completeness of metric binary spaces, g-comparative mappings, directed subsets and regular spaces endowed with relations, were stated in the previous section.
The purpose of this paper is to introduce some basic definitions about fixed point and best proximity point in two classes of probabilistic metric spaces and to prove contraction mapping principle and relevant best proximity point theorems.
The ten questions presented in this paper range from the very basic definitions underlying the emerging soundscape science, to more applied topics about how to use soundscape as a design approach for the planning and management of the built environments.
These are only basic definitions and the terms can mean different things to different people.
Firstly, basic definitions of the proposed method are given.
For the basic definitions and facts about multifunctions, we refer the reader to [4] and [5].
First, we give the basic definitions and results about fractional derivatives with exponential kernels.
Here we review the basic definitions and facts about automatic sequences.
For the basic definitions and facts about multifunctions, we refer to [8].
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CEO of Professional Science Editing for Scientists @ prosciediting.com