Three-Step Iterative Algorithm for System of Variational Inclusions with (H,φ)-η Monotone Operators
Wang Xiao-mi · Journal of Biomathematics · 2013
In this paper,we introduce a new system of variational inclusions with(H,φ)ηφmonotone operators in real uniformly smooth Banach spaces.By using the resolvent operator technique associated with(H,φ)-η-monotone operators,we construct a new three-step iterative algorithm for approximating the solution of this system.We prove the existence of solutions for this system of variational inclusions and the convergence of the sequence of iterates generated by the algorithm.The results extend and improve some known results in the literature.