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An algorithm for a class of split feasibility problems: application to a model in electricity production

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  • Le Hai Yen

    (VAST)

  • Le Dung Muu

    (VAST)

  • Nguyen Thi Thanh Huyen

    (Thainguyen University of Science)

Abstract

We propose a projection algorithm for solving split feasibility problems involving paramonotone equilibria and convex optimization. The proposed algorithm can be considered as a combination of the projection ones for equilibrium and convex optimization problems. We apply the algorithm for finding an equilibrium point with minimal environmental cost for a model in electricity production. Numerical results for the model are reported.

Suggested Citation

  • Le Hai Yen & Le Dung Muu & Nguyen Thi Thanh Huyen, 2016. "An algorithm for a class of split feasibility problems: application to a model in electricity production," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(3), pages 549-565, December.
    • Handle: RePEc:spr:mathme:v:84:y:2016:i:3:d:10.1007_s00186-016-0553-1
    DOI: 10.1007/s00186-016-0553-1
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    References listed on IDEAS

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    1. A. Moudafi, 2011. "Split Monotone Variational Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 275-283, August.
    2. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
    3. Tran Quoc & Le Muu, 2012. "Iterative methods for solving monotone equilibrium problems via dual gap functions," Computational Optimization and Applications, Springer, vol. 51(2), pages 709-728, March.
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