Harmonic Variational Inequalities

Authors

Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow
Khalida Inayat Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow

Author Country (or Countries)

Pakistan.

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100522

Recommended Citation

Aslam Noor, Muhammad and Inayat Noor, Khalida (2016) "Harmonic Variational Inequalities," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 22.
DOI: http://dx.doi.org/10.18576/amis/100522
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/22