Dinh, B.V. and Kim, D.S. (2017) Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings. Optimization Letters, 11 (3). pp. 537-553. ISSN 18624472
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Abstract
In this paper, we propose new algorithms for finding a common point of the solution set of a pseudomonotone equilibrium problem and the set of fixed points of a symmetric generalized hybrid mapping in a real Hilbert space. The convergence of the iterates generated by each method is obtained under assumptions that the fixed point mapping is quasi-nonexpansive and demiclosed at 0, and the bifunction associated with the equilibrium problem is weakly continuous. The bifunction is assumed to be satisfying a Lipschitz-type condition when the basic iteration comes from the extragradient method. It becomes unnecessary when an Armijo back tracking linesearch is incorporated in the extragradient method. © 2016, Springer-Verlag Berlin Heidelberg.
Item Type: | Article |
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Divisions: | Faculties > Faculty of Information Technology |
Identification Number: | 10.1007/s11590-016-1025-5 |
Uncontrolled Keywords: | Algorithms; Mapping; Armijo linesearch; Equilibrium problem; Extragradient methods; Fixed-point problem; Monotonicity; Strong convergence; Iterative methods |
Additional Information: | Language of original document: English. All Open Access, Green. |
URI: | http://eprints.lqdtu.edu.vn/id/eprint/9735 |