Iterative Algorithm for A New System of Generalized Variational Inclusions

摘要

In this paper,we consider a system of generafized variational inclusions with $H$-accretive mappings studied by Fang and Huang in Banach spaces.By using the resolvent operator associated with H-accretive mappings,we prove the existence and uniqueness of solutions for this system of generalized variational inclusions.We aiso construct a new iterative algorithm for approximating the solution of this system generalized variational inclusions and discuss the convergence of iterative sequence generated bv the algorithn.Our results improve and nnify many known results variationaI inequalities and variational inclusions.