Iterative approximations for multivalued nonexpansive mappings in reflexive Banach spaces
Yisheng Song, Yeol Je Cho · Mathematical Inequalities & Applications · 2009
In this paper, we established the strong convergence of Browder type iteration {x t } for the multivalued nonexpansive nonself-mapping T satisfying the weakly inwardness condition in a reflexive and strictly convex Banach space E with a uniformly Gteaux differentiable norm or in a reflexive Banach space with weakly sequentially continuous duality mapping. Furthermore, we also obtained the strong convergent results for the Halpern type iteration {x n } for multivalued nonexpansive nonself-mapping T .