A New System of Set-valued Variational Inclusions with H-Monotone Operators
Wen-Yong Yan, Ya-Ping Fang, Nan‐jing Huang · Mathematical Inequalities & Applications · 2005
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.