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

Wang, Yuanheng¹ ; Feng, Jialei ¹

¹ Department of Mathematics, Zhejiang Normal University, Jinhua, China

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 4, p. 529-540.

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.04.09

Classification : 47H09, 47H10, 54H25
Keywords: Asymptotically nonexpansive, strong convergence, \(\mu\)-inverse strongly monotone mapping, Hilbert space

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