Mogbademu, Adesanmi Alao On the convergence of modified Noor iteration method for nearly Lipschitzian mappings in arbitrary real Banach spaces. (English) Zbl 1312.47084 Transylv. J. Math. Mech. 6, No. 1, 45-51 (2014). Summary: We employed a modified Noor iteration method introduced by A. Rafiq [Appl. Math. Comput. 182, No. 1, 589–595 (2006; Zbl 1120.65074)]. Some strong convergence theorems of this iteration scheme are established for three nearly uniformly Lipschitzian mappings if at least one of these maps is uniformly Lipschitzian mapping. MSC: 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:uniformly Lipschitzian maps; common fixed point; strong convergence; modified Noor iteration method; nearly Lipschitzian mappings Citations:Zbl 1120.65074 PDFBibTeX XMLCite \textit{A. A. Mogbademu}, Transylv. J. Math. Mech. 6, No. 1, 45--51 (2014; Zbl 1312.47084)