Iterative Methods for Solving a System of Variational Inclusions Involving （H, η）-Monotone Operators in Banach Spaces

摘要

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 iterative sequence generated by the algorithm.