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Mathematical Communications, Vol. 13 No. 1, 2008.

Original scientific paper

On sensitivity analysis of general variational inequalities

Muhammad Aslam Noor ; Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Khalida Inayat Noor ; Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan

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Abstract

It is well known that the Wiener-Hopf
equations are equivalent to the general variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the general variational inequalities without assuming the differentiability of the given data. Since the general variational inequalities include classical variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. In fact, our results can be considered as a significant extension of previously known results.

Keywords

variational inequalities; sensitivity analysis; Wiener-Hopf equations; parametric equations

Hrčak ID:

23560

URI

https://hrcak.srce.hr/23560

Publication date:

28.5.2008.

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