Strong convergence of a new composite iterative method for equilibrium problems and fixed point problems |
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| Authors: | Shuang Wang Guoqing Chai |
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| Institution: | Department of Mathematics, Hubei Normal University, Huangshi 435002, PR China |
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| Abstract: | In this paper, we propose a new composite iterative method for finding a common point of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of nonexpansive mappings in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of nonexpansive mappings. Our results improve and extend the corresponding ones announced by many others. |
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| Keywords: | Strong convergence Composite iterative method Equilibrium problem Fixed point Nonexpansive mapping |
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