scholarly journals An Inertial Algorithm for Solving Hammerstein Equations

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 376
Author(s):  
Charles E. Chidume ◽  
Abubakar Adamu ◽  
Monday O. Nnakwe
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Nonlinear Equations ◽  
Convergence Theorems ◽  
Uniformly Smooth ◽  
Inertial Algorithm ◽  
Numerical Performance

An inertial algorithm for solving Hammerstein equations is presented. This algorithm is obtained as a consequence of a new inertial algorithm proposed and studied for solving nonlinear equations involving operators that are m-accretive. Some strong convergence theorems are proved in real Banach spaces that are uniformly smooth. Furthermore, comparisons of the numerical performance of our algorithms with the numerical performance of some recent important algorithms are presented.

scholarly journals Approximating the zeros of accretive operators by the Ishikawa iteration process

1996 ◽  
Vol 1 (2) ◽  
pp. 153-167 ◽  
Author(s):  
Zhou Haiyun ◽  
Jia Yuting
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Iteration Process ◽  
Accretive Operators ◽  
Convergence Theorems ◽  
Ishikawa Iteration ◽  
Uniformly Smooth ◽  
Ishikawa Iteration Process ◽  
Uniformly Smooth Banach Spaces ◽  
Iteration Processes

Some strong convergence theorems are established for the Ishikawa iteration processes for accretive operators in uniformly smooth Banach spaces.

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