A New Two-Step Iterative Algorithm and H(.,.)-Mixed Mappings for Solving a System of Variational Inclusions

A system of generalized mixed variational inclusion problem (SGMVIP) is considered involving H(.,.)-mixed mappings in q-uniformly smooth Banach spaces. By means of proximal-point mapping method, the existence of solution of this system of variational inclusions is given. A new two-step iterative algorithm is proposed for solving SGMVIP. Strong convergence of the proposed algorithm is given.

کلیدواژه ها:

System of generalized mixed variational inclusion problem ، H(. ، .)-mixed mappings ، Proximal-point mapping