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A Class of Projection Methods for General Variational Inequalities
Authors:Muhammad Aslam NoorThemistocles M Rassias
Institution:
  • a Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab Emiratesf1noor@ece.ac.aef1
  • b Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greecef2trassias@math.ntua.grf2
  • Abstract:In this paper, we consider and analyze a new class of projection methods for solving pseudomonotone general variational inequalities using the Wiener-Hopf equations technique. The modified methods converge for pseudomonotone operators. Our proof of convergence is very simple as compared with other methods. The proposed methods include several known methods as special cases.
    Keywords:variational inequalities  Wiener-Hopf equations  projection method  fixed point  convergence
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