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 for m-accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the iterative sequences generated by the algorithm in real Banach spaces. Some special cases are also discussed.