A New Iterative Algorithm for Variational Inclusions with H-Monotone Operators

Fu-quan Xia, Qing-bang Zhang, Yun-zhi Zou

Abstract

In this paper, a new algorithm for solving a class of variational inclusions involving H-monotone operators is considered in Hilbert spaces. We investigate a general iterative algorithm, which consists of a resolvent operator technique step followed by a suitable projection step. We prove the convergence of the algorithm for a maximal monotone operator without Lipschitz continuity. These results generalize many known results in recent literatures.