A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings
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Abstract
In this paper, a shrinking projection algorithm is investigated for variational inequality problems with Lipschitz monotone mappings and fixed point problems of relatively weak nonexpansive mappings. Strong convergence of the algorithm is established in a 2-uniformly convex and uniformly smooth real Banach space. As an application, zero problems of a Lipschitz monotone mapping is presented.
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