On accretive operators in cones of Banach spaces

1996 ◽  
Vol 27 (10) ◽  
pp. 1125-1135 ◽  
Author(s):  
Chen Yu-Qing
Keyword(s):  
Banach Spaces ◽  
Accretive Operators

On iterations methods for zeros of accretive operators in Banach spaces

2010 ◽  
Vol 216 (3) ◽  
pp. 1007-1017 ◽  
Author(s):  
Yisheng Song ◽  
Jung Im Kang ◽  
Yeol Je Cho
Keyword(s):  
Banach Spaces ◽  
Accretive Operators

scholarly journals Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 156 ◽  
Author(s):  
Chanjuan Pan ◽  
Yuanheng Wang
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Minimization Problem ◽  
Numerical Experiments ◽  
Splitting Method ◽  
Splitting Methods ◽  
Strong Convergence Theorem ◽  
Accretive Operators ◽  
Convex Minimization Problem ◽  
Inertial Extrapolation

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.

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