Hybrid pseudoviscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings |
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Authors: | L-C Ceng QH Ansari J-C Yao |
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Institution: | 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;2. Department of Mathematics & Statistics, King Fahd University of Petroleum & Minerals, P.O. Box 1169, Dhahran, Saudi Arabia;3. Department of Mathematics, Aligarh Muslim University, Aligarh, India;4. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan |
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Abstract: | In this paper, we introduce hybrid pseudoviscosity approximation schemes with strongly positive bounded linear operators for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinitely many nonexpansive mappings in the setting of Hilbert spaces. We prove the strong convergence of the sequences generated by our scheme to a solution of an equilibrium problem which is also a common fixed point of infinitely many nonexpansive mappings. Our results can be treated as extension and improvement of the corresponding results appeared in the literature in the recent past. |
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