Fixed points theorem for the Abel semigroups of asymptotically nonexpansive type mappings in Banach spaces
Gang Li · Journal of Yangzhou University · 2008
This paper proves the fixed points theorem for the Abel semigroups of asymptotically nonexpansive type mappings in Banach spaces with the Opial property and GGLD property.Suppose E is a Banach space with the Opial property and GGLD property,G is a Abel semigroups,C is a weak compact and convex subset of E and I={T(t):t∈G} is an asymptotically nonexpansive type semi-group of C.If λα(t)〈T(t)z〉wz for z∈C,then T(t)z=z.