Projection-proximal methods for general variational inequalities |
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Authors: | Muhammad Aslam Noor |
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Institution: | Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan |
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Abstract: | In this paper, we consider and analyze some new projection-proximal methods for solving general variational inequalities. The modified methods converge for pseudomonotone operators which is a weaker condition than monotonicity. The proposed methods include several new and known methods as special cases. Our results can be considered as a novel and important extension of the previously known results. Since the general variational inequalities include the quasi-variational inequalities and implicit complementarity problems as special cases, results proved in this paper continue to hold for these problems. |
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Keywords: | Variational inequalities Projection methods Pseudomonotone operators Fixed-point Convergence |
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