A new system of variational inclusions with (H,eta)-monotone operators

作者:Peng Jianwen*; Huang Jianrong
来源:Bulletin of the Australian Mathematical Society, 2006, 74(2): 301-319.
DOI:10.1017/s0004972700035735

摘要

In this paper, We introduce and study a new system of variational inclusions involving (H, eta)-monotone operators in Hilbert spaces. By using the resolvent operator method' associated with (H, eta)-monotone operators, we prove the existence and uniqueness of solutions and the convergence of some new three-step iterative algorithms for this system of variational inclusions and its special cases. The results in this paper extends and improves some results in the literature.