关于一类集值拟变分不等式的广义投影算法  

On a General Projection Algorithm for Set-valued Quasivariational Inequalities

作　　者：白敏茹[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2003年第3期5-7,共3页Journal of Hunan University:Natural Sciences

摘　　要：引入并研究了一类新的广义非线性集值强隐拟变分不等式,通过用投影方法,证明了这类变分不等式的解等价于一类不动点问题的解.基于这类不动点问题,我们构造了一个迭代算法,在没有紧性的条件下,证明了这类变分不等式解的存在性;同时,还证明了由迭代算法所产生的迭代序列收敛于这类变分不等式的解.The new class of generalized nonlinear strongly implicit quasivariational inequalities for setvalued mappings was studied.It is proved that the solutions of the generalized nonlinear strongly implicit quasivaritional inequalities are equal to the solutions of a class of fixed point problem by using the projection method.The iterative algorithm based on the fixed point problem was constructed.The existence of solutions are proved for the generalized nonlinear strongly implicit quasivariational inequalities for setvalued mappings without compactness.Meantime,it is proved that iterative sequences generated by the algorithm converge to the solution of the generalized nonlinear strongly implicit quasivariational inequalities.

关 键 词：隐拟变分不等式 迭代算法 收敛 

分 类 号：O177.91[理学—数学]