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doi:10.1016/0377-0427(93)90058-J    
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Copyright © 1993 Published by Elsevier Science B.V. All rights reserved.

Some aspects of variational inequalities

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Muhammad Aslam Noor and Khalida Inayat Noor

Themistocles M. RassiasCorresponding Author Contact Information

Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia

Mathematics Department, University of La Verne, Kifissia, Athens, Greece


Received 28 October 1991; 
revised 3 March 1992. 
Available online 22 March 2002.

Abstract

In this paper we provide an account of some of the fundamental aspects of variational inequalities with major emphasis on the theory of existence, uniqueness, computational properties, various generalizations, sensitivity analysis and their applications. We also propose some open problems with sufficient information and references, so that someone may attempt solution(s) in his/her area of special interest. We also include some new results, which we have recently obtained.

Author Keywords: Variational inequalities; Wiener–Hopf equations; iterative methods; algorithms; convergence criteria; fuzzy mappings; sensitivity analysis; error estimates; finite-element techniques; approximations; auxiliary principle; complementarity problems

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Corresponding Author Contact Information Correspondence to: Prof. Th.M. Rassias, Mathematics Department, University of La Verne, P.O. Box 51105, Kifissia, Athens, Greece 14510.


 
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