scholarly journals Merit functions and error bounds for generalized variational inequalities

2003 ◽  
Vol 287 (2) ◽  
pp. 405-414 ◽  
Author(s):  
M.V. Solodov
Keyword(s):  
Variational Inequalities ◽  
Error Bounds ◽  
Merit Functions ◽  
Generalized Variational Inequalities

scholarly journals Merit functions for absolute value variational inequalities

2021 ◽  
Vol 6 (11) ◽  
pp. 12133-12147
Author(s):  
Safeera Batool ◽  
◽  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor ◽  
Keyword(s):  
Variational Inequalities ◽  
Error Bounds ◽  
Complementarity Problem ◽  
Merit Functions ◽  
Absolute Value Equations ◽  
Absolute Value ◽  
Special Cases ◽  
The Absolute

<abstract><p>This article deals with a class of variational inequalities known as absolute value variational inequalities. Some new merit functions for the absolute value variational inequalities are established. Using these merit functions, we derive the error bounds for absolute value variational inequalities. Since absolute value variational inequalities contain variational inequalities, absolute value complementarity problem and system of absolute value equations as special cases, the findings presented here recapture various known results in the related domains. The conclusions of this paper are more comprehensive and may provoke futuristic research.</p></abstract>

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.

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