Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings

Yuanheng Wang, Jialei Feng · The Journal of Nonlinear Sciences and Applications · 2018

In this paper, we investigate a new iterative implicit algorithm for fixed points of asymptotically nonexpansive mapping in Hilbert spaces. We also prove its strong convergence theorem under certain assumptions imposed on the parameters and extend some well-known results. As an application, we apply our main result to \(\mu\)-inverse strongly monotone mapping.

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