scholarly journals Unique solvability of weakly homogeneous generalized variational inequalities

2021 ◽  
Author(s):  
Xueli Bai ◽  
Mengmeng Zheng ◽  
Zheng-Hai Huang
Keyword(s):  
Variational Inequalities ◽  
Unique Solvability ◽  
Generalized Variational Inequalities

scholarly journals An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 61 ◽  
Author(s):  
Yonghong Yao ◽  
Mihai Postolache ◽  
Jen-Chih Yao
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Strong Convergence ◽  
Fixed Points ◽  
Iterative Algorithm ◽  
Nonlinear Transformation ◽  
Generalized Variational Inequalities ◽  
Generalized Variational Inequality ◽  
Suggested Algorithm

In this paper, a generalized variational inequality and fixed points problem is presented. An iterative algorithm is introduced for finding a solution of the generalized variational inequalities and fixed point of two quasi-pseudocontractive operators under a nonlinear transformation. Strong convergence of the suggested algorithm is demonstrated.

Descent methods for a class of generalized variational inequalities

2009 ◽  
Vol 45 (2) ◽  
pp. 415-425 ◽  
Author(s):  
Barbara Panicucci ◽  
Massimo Pappalardo ◽  
Mauro Passacantando
Keyword(s):  
Variational Inequalities ◽  
Descent Methods ◽  
Generalized Variational Inequalities

scholarly journals The Penalty Method for a New System of Generalized Variational Inequalities

2010 ◽  
Vol 2010 ◽  
pp. 1-8 ◽  
Author(s):  
Yu-Chao Tang ◽  
Li-Wei Liu
Keyword(s):  
Variational Inequalities ◽  
Hilbert Spaces ◽  
Penalty Method ◽  
Existence Of Solution ◽  
Penalty Methods ◽  
Generalized Variational Inequalities ◽  
New System

We consider a new system of generalized variational inequalities (SGVI). Using the penalty methods, we prove the existence of solution of SGVI in Hilbert spaces. Our results extend and improve some known results.

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