We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings. Our results are significant improvement on results of Jung (2007) and Panyanak and Suantai (2020).
"Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition." Abstr. Appl. Anal. 2020 1 - 7, 2020. https://doi.org/10.1155/2020/6150398