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

@article{Lou2008IterativeMF,
  title={Iterative methods for solving a system of variational inclusions involving H-eta-monotone operators in Banach spaces},
  author={Jian Lou and Xin-Feng He and Zhen He},
  journal={Computers & Mathematics with Applications},
  year={2008},
  volume={55},
  pages={1832-1841}
}
In this paper, we introduce and study a new system of variational inclusions involving H–η-monotone operators in Banach space. Using the resolvent operator associated with H–η-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. c © 2007 Elsevier Ltd. All rights… CONTINUE READING