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is a solution for problem (6 - 7).
Therefore, the solution for problem (34) s.t.
Then (bar{x}) is an efficient solution for problem (P).
Hence there exists a solution for problem (4.2).
Hence, (x^ ) is an efficient solution for problem (P).
Consequently, there exists a solution for problem (4.1 - 1.3).
The existence and uniqueness of solution for problem (4) is thoroughly investigated in, e.g., [45].
Let ((x^{ast},y^{ast})) be a global optimal solution for problem (P1).
(17) There is a unique solution for problem (17) for (pin (2,+infty)).
Step 4: In this part, we certify the uniqueness of the mild solution for problem (1.1).
Thus there exists a unique solution for problem (2.9 - 2.10) on ([1,2]) by Theorem 2.3.
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