scholarly journals Iterative algorithms for quasi-variational inclusions and fixed point problems of pseudocontractions

2014 ◽  
Vol 2014 (1) ◽  
pp. 82
Author(s):  
Yonghong Yao ◽  
Ravi P Agarwal ◽  
Yeong-Cheng Liou
Keyword(s):  
Fixed Point ◽  
Iterative Algorithms ◽  
Fixed Point Problems ◽  
Variational Inclusions

scholarly journals Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Zhangsong Yao ◽  
Yan-Kuen Wu ◽  
Ching-Feng Wen
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Convergence Analysis ◽  
Iterative Methods ◽  
Iterative Algorithms ◽  
Fixed Point Problems ◽  
Variational Inclusions ◽  
Type Method ◽  
Common Solution ◽  
Mild Conditions

Iterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. In this paper, we use the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators. We show that the proposed algorithm has strong convergence under some mild conditions.

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