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Then, using Tychonov regularization, we obtain the minimal norm solution by a net of solution for some minimization problem.
In this section, we define the concept of the minimal norm solution of SEP (1.1).
In Section 2, we define the concept of the minimal norm solution of SEP (1.1).
In this section, we propose the concept of the minimal norm solution of P (1.1).
An element is said to be the minimal norm solution of SFP (1.1) if.
In Section 3, we define the concept of the minimal norm solution of SFP (1.1).
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Using Tychonov regularization, we obtain a net of solutions for some minimization problem approximating such minimal norm solutions.
Using Tychonov regularization, we obtain a net of solutions for some minimization problem approximating such minimal norm solutions (see Theorem 2.4).
Remark 1 Letting u = 0 in our result, we obtain the algorithm for minimal-norm solutions of the corresponding problem.
Then converges strongly to the -minimal norm solution x0 ∈ S0.
Then, we show that the regularized solutions converge to x0 ∈ S0, the -minimal norm solution defined by.
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