Generalized gap functions and error bounds for generalized variational inequalities

2009 ◽  
Vol 30 (3) ◽  
pp. 313-321
Author(s):  
Yan-hong Hu ◽  
Wen Song
Keyword(s):  
Variational Inequalities ◽  
Error Bounds ◽  
Gap Functions ◽  
Generalized Variational Inequalities

scholarly journals Some aspects of nonsmooth variational inequalities on Hadamard manifolds

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Monirul Islam ◽  
Syed Shakaib Irfan
Keyword(s):  
Maximum Principle ◽  
Variational Inequalities ◽  
Error Bounds ◽  
Gap Functions ◽  
Hadamard Manifolds ◽  
Nonsmooth Variational Inequalities

AbstractThis is the first paper dealing with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities by using gap functions in the setting of Hadamard manifolds. We also provide some characterizations of these two sufficiency properties. We conclude the paper with a discussion of the error bounds for nonsmooth variational inequalities in the setting of Hadamard manifolds.

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