Iterative method for coupled quasi-solutions of mixed monotone operator equations

1992 ◽  
Vol 52 (2-3) ◽  
pp. 301-308 ◽  
Author(s):  
Sun Jingxian ◽  
Liu Lishan
Keyword(s):  
Iterative Method ◽  
Monotone Operator ◽  
Operator Equations ◽  
Mixed Monotone Operator

A derivative-free iterative method for nonlinear ill-posed equations with monotone operators

2017 ◽  
Vol 25 (5) ◽  
pp. 543-551 ◽  
Author(s):  
Santhosh George ◽  
M. Thamban Nair
Keyword(s):  
Iterative Method ◽  
Convergence Analysis ◽  
Monotone Operator ◽  
Regularization Parameter ◽  
A Priori ◽  
Monotone Operators ◽  
Adaptive Procedure ◽  
Operator Equations ◽  
Derivative Free ◽  
Ill Posed

AbstractRecently, Semenova [12] considered a derivative free iterative method for nonlinear ill-posed operator equations with a monotone operator. In this paper, a modified form of Semenova’s method is considered providing simple convergence analysis under more realistic nonlinearity assumptions. The paper also provides a stopping rule for the iteration based on an a priori choice of the regularization parameter and also under the adaptive procedure considered by Pereverzev and Schock [11].

PRP-like algorithm for monotone operator equations

2021 ◽  
Author(s):  
Auwal Bala Abubakar ◽  
Poom Kumam ◽  
Hassan Mohammad ◽  
Abdulkarim Hassan Ibrahim
Keyword(s):  
Monotone Operator ◽  
Operator Equations
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