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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 5

 
   

Harmonic Variational Inequalities

PP: 1811-1814
doi:10.18576/amis/100522
Author(s)
Muhammad Aslam Noor, Khalida Inayat Noor,
Abstract
In this paper, we consider a new class of variational inequalities, which is called the harmonic variational inequality. It is shown that that the minimum of a differentiable harmonic convex function on the harmonic convex set can be characterized by the harmonic variational inequality. We use the auxiliary principle technique to discuss the existence of a solution of the harmonic variational inequality. Results proved in this paper may stimulate further research in this field.

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