关于完全广义混合强非线性变分包含的迭代算法

Iterative algorithm for a class of completely generalized mixed strongly nonlinear variational inclusions

引入并研究了Hilbert空间中一类新的完全广义混合强非线性变分包含 ,利用极大单调映射的预解算子技巧建立了新的三步迭代算法 。

A new class of completely generalized mixed strongly nonlinear variational inclusions are introduced and studied in Hilbert space, new three step iterative algorithm is constructed by using the resolvent operator technique for maximal monotone mapping, the existence of solution and the convergence of sequences obtained by iterative algorithm are proved.