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系统科学与数学 2010
STRONG CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITIES IN A BANACH SPACE
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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.