Generalized Nonlinear Variational Inclusions Involving [inline-graphic not available: see fulltext]-Monotone Mappings in Hilbert Spaces

A new class of generalized nonlinear variational inclusions involving [inline-graphic not available: see fulltext]-monotone mappings in the framework of Hilbert spaces 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, results obtained in this paper improve and extend many others.