Viscosity regularization iterative methods and convergence analysis

Li, Dongfeng ¹ ; Zhao, Juan ²

¹ School of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
² School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 11, p. 5712-5722.

Résumé

In this paper, a Moudafi's type viscosity regularization iterative method is introduced and investigated for an $m$-accretive mapping and a nonexpansive mapping. Strong convergence of the regularization iterative method is obtained in the framework of real uniformly smooth Banach spaces. Some subresults are also provided as applications of the main results.

Détail

DOI : 10.22436/jnsa.010.11.09

Classification : 47H05, 65J15, 47N10
Keywords: Accretive mapping, regularization iteration, uniform smoothness, operator equation

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