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Splitting extragradient-like algorithms for strongly pseudomonotone equilibrium problems

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Abstract

In this paper, two splitting extragradient-like algorithms for solving strongly pseudomonotone equilibrium problems given by a sum of two bifunctions are proposed. The convergence of the proposed methods is analyzed and the R-linear rate of convergence under suitable assumptions on bifunctions is established. Moreover, a noisy data case, when a part of the bifunction is contaminated by errors, is studied. Finally, some numerical experiments are given to demonstrate the efficiency of our algorithms.

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Authors and Affiliations

  1. Department of Mathematics, Vietnam National University, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam

    Ky Anh Pham

  2. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam

    Ngoc Hai Trinh

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  1. Ky Anh Pham
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  2. Ngoc Hai Trinh
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Correspondence to Ngoc Hai Trinh.

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Pham, K.A., Trinh, N.H. Splitting extragradient-like algorithms for strongly pseudomonotone equilibrium problems. Numer Algor 76, 67–91 (2017). https://doi.org/10.1007/s11075-016-0244-2

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  • DOI: https://doi.org/10.1007/s11075-016-0244-2

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