An inertial-like proximal algorithm for equilibrium problems
Dang Hieu (dangvanhieu@tdt.edu.vn)
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Dang Hieu: Ton Duc Thang University
Mathematical Methods of Operations Research, 2018, vol. 88, issue 3, No 3, 399-415
Abstract:
Abstract The paper concerns with an inertial-like algorithm for approximating solutions of equilibrium problems in Hilbert spaces. The algorithm is a combination around the relaxed proximal point method, inertial effect and the Krasnoselski–Mann iteration. The using of the proximal point method with relaxations has allowed us a more flexibility in practical computations. The inertial extrapolation term incorporated in the resulting algorithm is intended to speed up convergence properties. The main convergence result is established under mild conditions imposed on bifunctions and control parameters. Several numerical examples are implemented to support the established convergence result and also to show the computational advantage of our proposed algorithm over other well known algorithms.
Keywords: Proximal point algorithm; Inertial-like algorithm; Monotone bifunction; 65J15; 47H05; 47J25; 47J20; 91B50 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:88:y:2018:i:3:d:10.1007_s00186-018-0640-6
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DOI: 10.1007/s00186-018-0640-6
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