Banach空间中含(A,η,m)-增生算子的一类新广义非线性集值变分包含组

摘要

A new system of generalized nonlinear set-valued variational inclusions involving (A, η, m) -accretive operator in Banach spaces was studied. By Nadler's lemma and the new generalized resolvent operator technique associated with (A,η,m) -accretive operator, it was constructed some new iterative algorithms, under suitable conditions, some strong convergence theorems were proved.%考察Banach空间中含(A,η,m)-增生映射的一类新广义非线性集值变分包含组.运用Nadler引理,将广义预解算子技术与(A,η,m)-增生算子联系起来,通过构造新的迭代算法,在适当的条件下证明了该迭代算法是强收敛的.