广义集值变分包含的迭代算法

An Iterative Algorithom for Generalized Set-Valued Variational Inclusion

引入了N(·,·):H×H→H在第一变元关于A是α g 松驰Lipschitz连续的概念,利用一种新的单调算子—h 单调算子所生成的预解算子,给出了一类广义集值变分包含的迭代算法,并证明了该算法的强收敛性.

In this paper, a new concept of α-g-relaxed Lipschitz is introduced. By using the resolvent operator technique associated with a new class of monotone operator-h-monotone operator, an iterative algorithm for generalized set-valued variational inclusion is suggested and analysed. The convergence of iterative sequence generated by the algorithm is also proved.