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Furthermore, if necessary, we choose smaller α such that 

We arbitrarily choose y$_{0}$ = ( y$_{1}$, y$_{2}$, . . . , y$_{m}$ ) ∈ R m satisfying 

We set 

Then (4.1), (4.2) and (4.4) yields, if x ∈ D and | y − y$_{0}$ | ≤ L, 

and if x ∈ D, | y − y$_{0}$ | ≤ L and | t | < T, 

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