Iterative methods for solving a system of variational inclusions involving H-eta-monotone operators in Banach spaces

作者：Lou Jian; He Xin Feng; He Zhen^*

来源：Computers & Mathematics with Applications, 2008, 55(8): 1832-1841.

DOI：10.1016/j.camwa.2007.07.010

• q-uniformly smooth space
• H-eta-monotone operator
• resolvent operator technique
• system of variational inclusion
• iterative algorithm

In this paper, we introduce and study a new system of variational inclusions involving H-eta-monotone operators in Banach space. Using the resolvent operator associated with H-eta-monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm.

• 出版日期2008-4
• 单位河北大学