DOI: 10.24193/fpt-ro.2021.2.56

Authors: Yekini Shehu

Abstract: 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.

Key Words and Phrases: Modified Mann iteration, asymptotically nonexpansive mappings, rate of convergence, Hilbert spaces.

2010 Mathematics Subject Classification: 49J53, 65K10, 49M37, 47H10.

Published on-line: July 1st, 2021.

Abstract pdf          Fulltext pdf

Back to volume's table of contents