On Set-Valued Variational Inclusions Involving Multi-valued Accretive Mappings in Banach Spaces

An existence theorem for a class of set-valued variational inclusion problems is established in Banach spaces with uniformly convex dual. Furthermore,it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this problems. No continuousness assumption will be imposed on the multi-valued accretive mapping.