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In this paper, hemi-relatively nonexpansive mappings, variational inequalities andequilibrium problems are considered  based on a shrinking projectionmethod. Strong convergence of iterative sequences is obtained  in a uniformly convex and uniformly smooth Banach space. As an application, the problem of  finding zeros of maximal monotoneoperators is studied.

banach journal of mathematical analysis

Convergence theorems based on the shrinking projection method for hemi-relatively nonexpansive mappings, variational inequalities and equilibrium problems