Nonlinear ergodic theorems and weak convergence theorems
Nonlinear ergodic theorems and weak convergence theorems
In this paper we study the asymptotic behavior of nonexpansive mappings and of one parameter semigroups of nonexpansive mappings in Banach spaces.In [1], Baillon proved the first nonlinear ergodic theorem for nonexpansive mappings in Hilbert spaces.Reich [16] extended Baillon's result to uniformly convex Banach spaces which have Fr\'echet differentiable norms …