Let be a reflexive Banach space having a weakly sequentially continuous duality mapping with gauge function , a nonempty closed convex subset of , and a multivalued nonself-mapping such that is nonexpansive, where . Let be a contraction with constant . Suppose that, for each and , the contraction defined by has a fixed point . Let , and be three sequences in satisfying approximate conditions. Then, for arbitrary , the sequence generated by for all converges strongly to a fixed point of .
"Convergence of a Viscosity Iterative Method for Multivalued Nonself-Mappings in Banach Spaces." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/369412