Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods

Optimization ◽  
2021 ◽  
pp. 1-36
Author(s):  
Dan-Qiong Wang ◽  
Tu-Yan Zhao ◽  
Lu-Chuan Ceng ◽  
Jie Yin ◽  
Liang He ◽  
...  
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Strong Convergence ◽  
Fixed Point Problems ◽  
Variational Inclusions ◽  
Implicit Methods ◽  
Convergence Results ◽  
Systems Of Variational Inequalities

scholarly journals Variational Inequalities Approaches to Minimization Problems with Constraints of Generalized Mixed Equilibria and Variational Inclusions

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 270 ◽  
Author(s):  
Lu-Chuan Ceng ◽  
Mihai Postolache ◽  
Ching-Feng Wen ◽  
Yonghong Yao
Keyword(s):  
Variational Inequalities ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Variational Inclusions ◽  
Minimization Problems ◽  
Convergence Results ◽  
Mixed Equilibrium Problems ◽  
Generalized Mixed Equilibrium ◽  
Implicit And Explicit ◽  
Mixed Equilibria

Multistep composite implicit and explicit extragradient-like schemes are presented for solving the minimization problem with the constraints of variational inclusions and generalized mixed equilibrium problems. Strong convergence results of introduced schemes are given under suitable control conditions.

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.

scholarly journals Common solutions to some systems of variational inequalities and fixed point problems

2017 ◽  
Vol 18 (1) ◽  
pp. 167-190 ◽  
Author(s):  
B. Djafari-Rouhani ◽  
◽  
K.R. Kazmi ◽  
Mohd. Farid ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Fixed Point Problems ◽  
Systems Of Variational Inequalities

scholarly journals Iterative Solutions for Solving Variational Inequalities and Fixed-Point Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Li-Jun Zhu ◽  
Naseer Shahzad ◽  
Asim Asiri
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Strong Convergence ◽  
Iterative Algorithm ◽  
Hilbert Spaces ◽  
Fixed Point Problems ◽  
Suggested Algorithm ◽  
Iterative Solutions

In this paper, we are interested in variational inequalities and fixed-point problems in Hilbert spaces. We present an iterative algorithm for finding a solution of the studied variational inequalities and fixed-point problems. We show the strong convergence of the suggested algorithm.

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