On nonconvex equilibrium 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, Zografou Campus, 15773 Athens, Greece |
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Abstract: | In this paper, we introduce a new class of equilibrium problems, known as mixed quasi nonconvex equilibrium problems. We suggest some iterative schemes for solving nonconvex equilibrium problems by using the auxiliary principle technique. The convergence of the proposed methods either requires partially relaxed strongly monotonicity or pseudomonotonicity. As special cases, we obtain a number of known and new results for solving various classes of equilibrium and variational inequality problems. |
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Keywords: | Equilibrium problems Auxiliary principle Iterative methods Convergence Dual problems |
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