一类广义非线性变分不等式组的灵敏性分析

Sensitivity Analysis for a System of Generalized Nonlinear Variational Inequalities

应用预解算子方法,讨论了一类广义非线性变分不等式组解的存在唯一性及灵敏性分析问题,证明了在一定条件下,这一类变分不等式组的解的存在唯一性以及解(u(λ, ,s,t),v(λ, ,s,t))关于参数(λ, ,s,t)是连续的,所得结果推广了和发展了一些作者近期的结果.

The author has studied the sensitivity problem of solutions for a system of generalized nonlinear variational inequalities using the implicit resolvent operator method.Under the conditions,the author has first proved the existence uniquencess lemma of the solution for this kind of variatiional imequalities problem,next the author has proved the solutiion (u(λ,,s,t),v(λ,,s,t)) is continuous on the parametric (λ,,s,t).The results generalize and develope some recent results.