Abstract
In this paper, we propose a faster iteration process applied to generalized support vector machine. First, we introduce the theory of support vector machine and give the definition of generalized support vector machine, which is equivalent to the variational inequality problem and fixed point problem. Also, we introduce an iterative process for finding the set of solutions of variational inequality problem. The result show that the iterative sequence converges strongly to the solution of the fixed point problem and the classical variational inequality problem. Obviously, the solution solve the generalized support vector machine.
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