A SYSTEM OF GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS WITH (H,η)-MONOTONE OPERATORS

Abstract

In this paper, a new system of generalized nonlinear variational inclusions with (H,η)-monotone operators is introduced and studied in Hilbert spaces. By using the re- solvent operators associated with (H,η)-monotone operators, we construct a new iterative algorithm for approximating the solution of the system of generalized nonlinear variational inclusions, prove the existence of solution of the system of generalized nonlinear variational inclusions and the convergence of the sequence generated by the algorithm. The result presented in this paper extends some known results in the literature.