An Armijo-type method for pseudomonotone equilibrium problems and its applications |
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| Authors: | P N Anh H A Le Thi |
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| Institution: | 1. Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hanoi, Vietnam
2. Laboratory of Theoretical and Applied Computer Science, LITA EA 3097, UFR MIM, University of Lorraine, Ile du Saulcy, 57045, Metz, France
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| Abstract: | We present a new algorithm for solving equilibrium problems, where the underlying bifunctions are pseudomonotone and not necessarily Lipschitz-type continuous. The algorithm is based on the auxiliary problem principle and the Armijo-type linesearch techniques. Convergence properties of the algorithms are established, among them the global convergence is proved under few assumptions. Applications to generalized variational inequalities and some numerical results are reported. |
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