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

作　　者：李丽[1,2] 周厚春[1] 

机构地区：[1]临沂大学理学院,山东临沂276005 [2]山东师范大学数学科学学院,山东济南250014

出　　处：《淮阴师范学院学报（自然科学版）》2013年第1期5-8,14,共5页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金资助项目(11271226);山东省自然科学基金资助项目(ZR2010AL005;ZR2011FL017);2012年物流教改教研课题计划项目(JZW2012065)

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.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）.

关 键 词：集值映射 广义变分不等式 广义非线性互补问题 误差界 

分 类 号：O242[理学—计算数学]