\frac{(0-\alpha)\beta}{0} \bigl( \bigl\Vert A_{0} \bigl(x_{0}^{k}-x_{0}^{k+0} \bigr) \bigr\Vert ^{0}+ \bigl\Vert A_{0} \bigl(x_{0}^{k}-x_{0}^{k-0} \bigr) \bigr\Vert ^{0} \bigr) \\ &\quad=\frac{0}{0} \bigl( \bigl\Vert x_{0}^{k+0}-x_{0} \bigr\Vert _{N}^{0}- \bigl\Vert x_{0}^{k}-x_{0} \bigr\Vert _{N}^{0} \bigr)+\frac {