Hybrid Viscosity Approximation Method for Zeros ofm-Accretive Operators in Banach Spaces

2012 ◽  
Vol 33 (2) ◽  
pp. 142-165 ◽  
Author(s):  
Lu-Chuan Ceng ◽  
Qamrul Hasan Ansari ◽  
Siegfried Schaible ◽  
Jen-Chih Yao
Keyword(s):  
Banach Spaces ◽  
Approximation Method ◽  
Viscosity Approximation Method ◽  
Accretive Operators ◽  
Viscosity Approximation ◽  
Hybrid Viscosity Approximation Method

scholarly journals Viscosity approximation method for solving variational inequality problem in real Banach spaces

2021 ◽  
pp. 1-20
Author(s):  
Godwin Ugwunnadi
Keyword(s):  
Variational Inequality ◽  
Banach Spaces ◽  
Approximation Method ◽  
Variational Inequality Problem ◽  
Viscosity Approximation Method ◽  
Viscosity Approximation ◽  
Inequality Problem ◽  
Mild Conditions ◽  
Uniformly Smooth ◽  
Uniformly Smooth Banach Spaces

In this paper, we study the implicit and inertial-type viscosity approximation method for approximating a solution to the hierarchical variational inequality problem. Under some mild conditions on the parameters, we prove that the sequence generated by the proposed methods converges strongly to a solution of the above-mentioned problem in $q$-uniformly smooth Banach spaces. The results obtained in this paper generalize and improve many recent results in this direction.

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