广义隐拟变分包含的带扰动Ishikawa迭代算法

Perturbed Ishikawa Type Iterative Algorithm for Generalized Implicit Quasivariational Inclusions

本文引入了日空间中一类关于极大η-单调映象的完全广义隐拟变分包含,利用预解算子技术建立了这类变分包含解的Ishikawa迭代和Mann迭代算法逼近,证明了其解的存在性以及由算法生成的迭代序列的收敛性。

In this paper, we introduced a new class of completely generalized implicit quasivariational inclusion involving maximal -monotone mappings in . Using the resolvent operator technique, we constructed perturbed Ishikawa and Mann type iterative algorithms for the variational inclusion. Furthermore, we proved the existence of solution for the variational inclusion and proved the convergence of the iterative sequences generated by these algorithms.