Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization

2013 ◽  
Author(s):  
Qamrul Hasan Ansari ◽  
C. S. Lalitha ◽  
Monika Mehta
Keyword(s):  
Variational Inequalities ◽  
Nonsmooth Optimization ◽  
Generalized Convexity ◽  
Nonsmooth Variational Inequalities

Weak Sharp Solutions for Nonsmooth Variational Inequalities

2017 ◽  
Vol 175 (3) ◽  
pp. 683-701 ◽  
Author(s):  
Suliman Al-Homidan ◽  
Qamrul Hasan Ansari ◽  
Luong Van Nguyen
Keyword(s):  
Variational Inequalities ◽  
Weak Sharp ◽  
Nonsmooth Variational Inequalities

scholarly journals Weak sharpness for solutions of nonsmooth variational inequalities and applications

2020 ◽  
Vol 36 (1) ◽  
pp. 109-117
Author(s):  
LUONG V. NGUYEN ◽  
XIAOLONG QIN
Keyword(s):  
Variational Inequalities ◽  
Sufficient Conditions ◽  
Solution Set ◽  
Derivatives Of ◽  
Nonsmooth Variational Inequalities

In this paper, we first give some new characterizations of weak sharpness of the solution set of nonsmoothvariational inequalities in terms of partial subdiferentials/Gˆateaux derivatives of involving bifunctions. Asapplications, we use a new characterization to establish sufficient conditions for guaranteeing finite terminationof an arbitrary algorithm solving nonsmooth variational inequalities under the weak sharpness assumption

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