主要利用不动点的指数方法与广义投影算子的相关性质，研究了自反Banach空间中一类单值变分不等式非零解的存在性。得到了这一类单值变分不等式的非零解的存在性结果。%In this paper, we study the existence of nonzero solutions for a class of single-valued variational inequalities in reflexive by using the fixed the author point index approach and the properties of generalized projection operator in reflexive. Some new existence theorems of nonzero solutions for this class of Single-valued variational inequalities are established.
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