Rate of convergence of modified Mann iteration for asymptotically nonexpansive mappings

摘要

Modified Mann iteration has been studied extensively for the approximation of fixed points of asymptotically nonexpansive mappings by many authors and known to be weakly convergent in the infinite-dimensional space. Our aim in this present paper is to provide a nonasymptotic?O(1/n)?convergence rate result for a modified Mann iteration for asymptotically nonexpansive mappings in real Hilbert spaces.