完全一般非线性隐拟变分包含的带误差的扰动迭代算法

Pertubed Iterative Algorithms with Errors for Completely Generalized Nonlinear Implicit Quasivariational Inclusions

给出了一类完全一般非线性隐拟变分包含并应用极大单调性质证明了它等价于一类不动点问题 .我们还给出了这类隐拟变分包涵解的存在性 。

This paper introduces a new class of completely generalized nonlinear implicit quasivartional inclusions and proves its equivalence with a class of fixed point problems by making use of the properties of maximal monotone. It also proves the existence of solutions for this completely generalized nonlinear implicit quasivartional inclutions and the convergence of iterative sequences by the perturbed algorithms with errors.