On multivalued nonlinear variational inclusion problems with[inline-graphic not available: see fulltext]-accretive mappings in Banach spaces

Based on the notion of[inline-graphic not available: see fulltext]-accretive mappings and the resolvent operators associated with[inline-graphic not available: see fulltext]-accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problems with[inline-graphic not available: see fulltext]-accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving[inline-graphic not available: see fulltext]-accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in[inline-graphic not available: see fulltext]-uniformly smooth Banach spaces.