Banach空间的上带松弛共强制的广义隐式变分包含组(英文)

Ceneralized System for Relaxed Cocoercive Implicit Variational Inclusions in Banach Spaces

本文在Banach空间上引入和研究了一类带松弛共强制的广义隐式变分包含组(SNSIVI) .使用M-增值算子的预解算子技术,我们构造了一类新的迭代算法逼近这类隐式变分包含组,且在q-一致平滑Banach空间上证明了这类迭代算法的收敛性.我们的结果推广和改进了最近的相关工作.

We introduce and study a system of nonlinear implicit variational inclusions （SNIVI） with relaxed cocoercive mappings in real Banach spaces. By using resolvent operator technique for M- accretive mapping,we construct a new class of iterative algorithms for solving this class of system of implicit variational inclusions. The convergence of iterative algorithms be proved in q- uniformly smooth Banach spaces. Our results generalize and improve the corresponding results of recent works.