A NEW SYSTEM OF GENERALIZED NONLINEAR RELAXED CO-COERCIVE SET-VALUED VARIATIONAL INCLUSIONS IN BANACH SPACES

Abstract

In this paper, we introduce and study a new system of generalized nonlinear relaxed co-coercive set-valued variational inclusions in Banach spaces. By using the resolvent operator technique for (A, η)-accretive mapping due to Lan-Cho-Verma, we construct some new iterative algorithms for approximating the solutions of the system of nonlinear relaxed co-coercive set-valued variational inclusions and prove the existence of the solutions for the system of nonlinear relaxed co-coercive set-valued variational inclusions and convergence of iterative sequences generated by the algorithm. The results presented in this paper improve and extend the previously known results in this area.