关于一类非线性变分不等式的可解性  

On Solvability of a Class of Nonlinear Variational Inequalities

作　　者：李劲松[1] 

机构地区：[1]铁岭师范高等专科学校,辽宁铁岭112001

出　　处：《沈阳师范大学学报（自然科学版）》2007年第4期439-441,共3页Journal of Shenyang Normal University:Natural Science Edition

摘　　要：在Hilbert空间中引入了一类非线性变分不等式,建立了这类非线性变分不等式近似解的扰动迭代算法,证明了此类非线性变分不等式解的存在性和唯一性,并讨论了由该迭代算法所产生的迭代序列的收敛性.The aim of this paper is to introduce a class of nonlinear variational inequalities in a real Hilbert space. A perturbed iterative algorithm for finding the approximate solutions of the nonlinear variational inequality is suggested. The existence and uniqueness of solution for the nonlinear variational inequality is proved and the convergence of iterative sequence generated by the perturbed iterative algorithm is established.

关 键 词：非线性变分不等式 扰动迭代算法 收敛性 预解算子 

分 类 号：O177.91[理学—数学]