Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

Chanjuan Pan and Yuanheng Wang
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Chanjuan Pan: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Yuanheng Wang: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2019, vol. 7, issue 2, 1-12

Abstract: In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method.

Keywords: Banach spaces; viscosity splitting method; inertial method; accretive operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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