A new system of set-valued variational inclusions with H-monotone operators

作者：Yan WY^*; Fang YP; Huang NJ

来源：Mathematical Inequalities & Applications, 2005, 8(3): 537-546.

• H-monotone operator
• resolvent operator technique
• system of set-valued variational inclusion
• iterative algorithm

The purpose of this paper is to introduce and study a new system of set-valued variational inclusions with H-monotone operators in Hilbert spaces. By using the resolvent operator method associated with H-monotone operator due to Fang and Huang, we construct a new iterative algorithm for solving this kind of system of set-valued variational inclusions. We also prove the existence of solutions for the system of set-valued variational inclusions and the convergence of iterative sequences generated by the algorithm.

• 出版日期2005-7
• 单位四川大学