A System of Nonlinear Variational Inclusions with [inline-graphic not available: see fulltext]-Monotone Mappings

A new system of nonlinear variational inclusions involving [inline-graphic not available: see fulltext]-monotone mappings in the framework of Hilbert space is introduced and then based on the generalized resolvent operator technique associated with [inline-graphic not available: see fulltext]-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since [inline-graphic not available: see fulltext]-monotonicity generalizes [inline-graphic not available: see fulltext]-monotonicity and [inline-graphic not available: see fulltext]-monotonicity, our results improve and extend the recent ones announced by many others.