scholarly journals Hybrid steepest-descent methods for systems of variational inequalities with constraints of variational inclusions and convex minimization problems

2017 ◽  
Vol 10 (03) ◽  
pp. 874-901 ◽  
Author(s):  
Zhao-Rong Kong ◽  
Lu-Chuan Ceng ◽  
Yeong-Cheng Liou ◽  
Ching-Feng Wen
Keyword(s):  
Variational Inequalities ◽  
Convex Minimization ◽  
Steepest Descent ◽  
Descent Methods ◽  
Variational Inclusions ◽  
Minimization Problems ◽  
Convex Minimization Problems ◽  
Systems Of Variational Inequalities

scholarly journals A primal-dual dynamical approach to structured convex minimization problems

2020 ◽  
Vol 269 (12) ◽  
pp. 10717-10757 ◽  
Author(s):  
Radu Ioan Boţ ◽  
Ernö Robert Csetnek ◽  
Szilárd Csaba László
Keyword(s):  
Convex Minimization ◽  
Minimization Problems ◽  
Dynamical Approach ◽  
Convex Minimization Problems ◽  
Primal Dual

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.

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