广义集值变分不等式与互补问题的误差界

Error Bound for Generalized Variational Inequality and Complmentarity Problem with Set-valued Mapping

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.

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）.