中文摘要：

引入了广义变分不等式的投影残量,利用投影残量,我们给出了集值映射为γ-严格单调（γ-一致P-映射）和H lder连续的广义集值变分不等式（广义集值非线性互补问题）的误差界,以上结论推广了一般的广义变分不等式（广义非线性互补问题）的相关结论.

英文摘要：

Based on the projection residue of generalized variational inequality,we establish error bound estimation for generalized variational inequality with multi-valued mapping（generalized nonlinear complementarity problem with multi-valued mapping） over a closed convex polyhedral with the underlying mapping being γ-strict monotone（γ-uniform P-mapping） and Hlder continuous,respectively,and our result which can be taken as an extension of the result of generalized for variational inequality（generalized nonlinear complementarity problem）.