An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
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| Authors: | Prasit Cholamjiak |
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| Institution: | Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand |
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| Abstract: | In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection. |
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| Keywords: | Relatively nonexpansive mapping Iterative method Generalized projection Strong convergence Equilibrium problem |
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