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Some algorithms for hemiequilibrium problems

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Abstract

In this paper, we suggest and analyze a class of iterative methods for solving hemiequilibrium problems using the auxiliary principle technique. We prove that the convergence of these new methods either requires partially relaxed strongly monotonicity or pseudomonotonicity, which is a weaker condition than monotonicity. Results obtained in this paper include several new and known results as special cases.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

    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 specializations 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. Some algorithms for hemiequilibrium problems. JAMC 19, 135–146 (2005). https://doi.org/10.1007/BF02935793

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  • DOI: https://doi.org/10.1007/BF02935793

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