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There are some half-continuous mappings which are not continuous.
Here we prove coincidence point results by assuming a weak contraction inequality with three control functions, two of which are not continuous.
Impersistent joints, which are not continuous on a joint plane, can be accommodated [Pariseau WG. Effects of joint persistence on jointed rock masses. Trans Soc Min Metal Explor 2003 314:121–8].
A detailed analysis of the size of this class is given; it is proved to be non-empty even for Gaussian processes which are not continuous on any closed interval.
Therefore a surface is the common boundary of two bodies which are not continuous, and does not form part of either one or the other, for if the surface formed part of it, it would have divisible bulk, whereas, however, it is not divisible and nothingness divides these bodies the one from the other".
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The following example is an example of a b-metric which is not continuous.
Now we present an example of a b-metric which is not continuous.
The following example on a b -metric which is not continuous.
Note that these results describe the discrete distribution of { x ^ m, x ⌣ m }, which is not continuous Gaussian distribution.
We consider a mapping T which is not continuous, so not an F-contraction but it is a conditionally F-contraction of type (C).
Recently, Hussain et al. [15] have presented an example of a b-metric which is not continuous (see [[15], Example 2]).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com