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Hemivariational inequalities

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Abstract

The auxiliary principle is used to suggest and analyze some iterative methods for solving solving hemivariational inequalities under mild conditions. The results obtained in this paper can be considered as a novel application of the auxiliary principle technique. Since hemivariational inequalities include variational inequalities and nonlinear optimization problems as special cases, our results continue to hold-for these problems.

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Authors and Affiliations

  1. Etisalat College of Engineering, United Arab Emirates, P. O. Box 980, Sharjah

    Muhammad Aslam Noor

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  1. Muhammad Aslam Noor
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Correspondence to Muhammad Aslam Noor.

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Prof. Dr. Muhammad Aslam Noor is currently the Head of the Department of General Studies, Etisalat College of Engineering, Sharjah, UAE. He received his M. Sc from Panjab University (Pakistan, 1967), M. Sc from Queen's University (Canada, 1971) and Ph. D from Brunel University (London, U. K. 1975). He became professor in 1985. He has taught several courses including variational inequalities, numerical analysis, finite element analysis, optimization and operations research in Iran, Pakistan, Saudi Arabia, Canada and UAE. His main fields of interest and specialization are: Variational inequalities, Equilibrium problems, Finite element analysis, Convex analysis, Numerical optimization, etc. He has published more than 335 research papers in international journals. He is a member of editorial boards of several scientific journals including Journal of Mathematical Analysis and Applications. He is a Fellow of the Institute of Mathematics and its Applications, UK.

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Noor, M.A. Hemivariational inequalities. JAMC 17, 59–72 (2005). https://doi.org/10.1007/BF02936041

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  • DOI: https://doi.org/10.1007/BF02936041

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