Merit functions and error bounds for constrained mixed set-valued variational inequalities via generalizedf-projection operators

Optimization ◽  
2016 ◽  
Vol 65 (8) ◽  
pp. 1569-1584 ◽  
Author(s):  
Chuqun Li ◽  
Jun Li
Keyword(s):  
Variational Inequalities ◽  
Error Bounds ◽  
Projection Operators ◽  
Merit Functions

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>

Numerical Enclosures for Variational Inequalities

2007 ◽  
Vol 7 (4) ◽  
pp. 376-388 ◽  
Author(s):  
M. Plum ◽  
Ch. Wieners
Keyword(s):  
Variational Inequalities ◽  
Unique Solution ◽  
Error Bounds ◽  
Numerical Approximation ◽  
Model Problem ◽  
Load Condition ◽  
Specific Model ◽  
Primal And Dual ◽  
Safe Load

AbstractWe present a new method for proving the existence of a unique solution of variational inequalities within guaranteed close error bounds to a numerical approximation. The method is derived for a specific model problem featuring most of the difficulties of perfect plasticity. We introduce a finite element method for the computation of admissible primal and dual solutions which a posteriori guarantees the existence of a unique solution (by the verification of the safe load condition) and which allows determination of a guaranteed error bound. Finally, we present explicit existence results and error bounds in some significant specific configurations.

scholarly journals Mixed quasi-variational inequalities involving error bounds

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Suhel Ahmad Khan ◽  
Javid Iqbal ◽  
Yekini Shehu
Keyword(s):  
Variational Inequalities ◽  
Error Bounds
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