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OALib Journal期刊
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STRONG CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITIES IN A BANACH SPACE
Banach空间中一类变分不等式的强收敛定理

Keywords: Variational inequality,CQ iterative method,generalized projection operator,compact operator
变分不等式
,CQ迭代法,广义投影算子,紧算子.

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Abstract:

In this paper, a new CQ iterative method is introduced by using the generalized projection operator, and then a strong convergence theorem for variational inequality in noncompact subset of Banach space is proved by the method. This theorem is more concrete than previous related results. Finally, the problem of zero point for an operator in Banach space is investigated by the resultant theorem.

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