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Harmonic Variational Inequalities |
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PP: 1811-1814 |
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doi:10.18576/amis/100522
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Author(s) |
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Muhammad Aslam Noor,
Khalida Inayat Noor,
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Abstract |
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| 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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