An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces

摘要

We use Nadler's theorem and the resolvent operator technique form-accretive mappings to suggest an iterative algorithm forsolving generalized nonlinear variational inclusions with relaxedstrongly accretive mappings in Banach spaces. We prove theexistence of solutions for our inclusions without compactnessassumption and the convergence of the iterative sequencesgenerated by the algorithm in real Banach spaces. Some specialcases are also discussed.