Abstract
In this paper, a new iterative scheme by hybrid method is constructed. Strong convergence of the scheme to a common element of the set of common fixed points of a finite family of relatively quasi-nonexpansive mappings and set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved. Our results extend important recent results.
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Shehu, Y. Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems. J Glob Optim 51, 69–78 (2011). https://doi.org/10.1007/s10898-010-9619-4
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DOI: https://doi.org/10.1007/s10898-010-9619-4