A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings
Applied Set-Valued Analysis and Optimization · 2021
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.