On general hemiequilibrium problems |
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Authors: | Muhammad Aslam Noor |
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Affiliation: | a Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan b Mathematics Department, National Technical University of Athens, Zagrafou Campus, 15773, Athens, Greece |
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Abstract: | In this paper, we introduce and analyze a new class of equilibrium problems known as general hemiequilibrium problems. It is shown that this class includes hemiequilibrium problems, hemivariational inequalities and complementarity problems as special cases. We use the auxiliary principle techniques to suggest some iterative-type methods for solving multivalued hemiequilibrium problems. We also analyze the convergence analysis of these new iterative methods under some mild conditions. As special cases, we obtain several new and known methods for solving variational inequalities and equilibrium problems. |
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Keywords: | Equilibrium problems Variational inequalities Auxiliary principle Iterative methods Convergence |
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