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Mathematics 2019, 7(2), 156; https://doi.org/10.3390/math7020156

Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

and
*,†
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 6 January 2019 / Revised: 28 January 2019 / Accepted: 30 January 2019 / Published: 8 February 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
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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. View Full-Text
Keywords: Banach spaces; viscosity splitting method; inertial method; accretive operators Banach spaces; viscosity splitting method; inertial method; accretive operators
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Pan, C.; Wang, Y. Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces. Mathematics 2019, 7, 156.

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