广义集值隐拟变分包含的迭代算法

Iterative Algorithm for Generalized Set-valued Implicit Quasi-variational Inclusions

引入了H空间中一类关于极大η-单调映象的广义集值隐拟变分包含,利用预解算子技术建立了这类变分包含解的一种新迭代算法逼近,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, a new class of generalized set-valued implicit quasi-vaxiational inclusion involving maximal η- monotone mappings in H is introduced. By using the resolvent operator technique, some new iterative algorithms for the variational inclusion axe constructed. Furthen＇note, the existence of solution for the variational inclusion and the convergence of the iterativc sequences generated by these algorithms are proved.