a modified mann iterative scheme for a sequence of nonexpansive mappings and a monotone mapping with applications
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abstract
in a real hilbert space, an iterative scheme is considered to obtain strong convergence which is an essential tool to find a common fixed point for a countable family of nonexpansive mappings and the solution of a variational inequality problem governed by a monotone mapping. in this paper, we give a procedure which results in developing shehu's result to solve equilibrium problem. then, we state more applications of this procedure. finally, we investigate some numerical examples which hold in our main results.
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 40
issue 4 2014
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