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As we proved above, u defined by (20) is an optimal control of Problem (LQ SOC).
Since for and for , then , and we are finished (note that we proved above that ).
In this section, as an application of our results proved above, we deduce certain Suzuki-Wardowski type fixed point theorems.
As an application of Lemma 3.2 and the results proved above, we deduce the following new fixed point theorems in triangular fuzzy metric spaces.
Note that from the case when (n=0) proved above, it follows that for all (K>0), (varphi_{r,f}^{K}(infty )
In virtue of property (19) proved above, the limit (lim_{M_{k}toinfty} vert G^{ k)}_{r,n,f,M_{k}}(0) vert ) does not depend on the choice of the sequence ({M_{k}}_{k=1}^{infty}).
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