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Exact(3)
So, by Deimling [11], has a unique fixed point which is denoted ; that is, (3.2).
Hence, by Banach's contraction principle, has a unique fixed point which is denoted ; that is, is the unique solution in of the fixed point equation (3.3).
In both cases, errors reduce survival chance, particularly negative errors (denoted ), that is,.
Similar(57)
⊂ denotes that is contained in.
Denote that is the interior of,.
Denote that, is an orthonormal basis of and.
where denotes that is connected with and 0 otherwise.
where is a positive semidefinite matrix, and denotes that is a positive semidefinite matrix.
where denotes that is connected with and 0 otherwise; denotes the index of the busy square where is.
with denoting that is positive semidefinite.
We define, The notation is used to denote that is a symmetric positive definite (semidefinite) matrix.
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