Rate of convergence of modified Mann iteration for asymptotically nonexpansive mappings

Yekini Shehu · Fixed Point Theory · 2021

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.

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