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Then (Q cdot, 1)) has a fixed point if (Q cdot, 0)) has a fixed point.
Then has a fixed point if and only if has a fixed point.
Obviously, the operator has a fixed point if and only if has a fixed point.
It is obvious that has a fixed point is equivalent to has a fixed point, and so we turn to proving that has a fixed point.
So, has a fixed point.
Then (mathcal F ) has a fixed point.
multifunction, then it has a fixed point.
Thus, T has a fixed point.
If, then has a fixed point.
for all has a fixed point.
holds, then T has a fixed point.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com