Approximating fixed points of lipschitz pseudo-contractive semigroups and solutions of variational inequalities
Oganeditse A. Boikanyo, Habtu Zegeye · Nonlinear functional analysis and applications · 2017
Let C be a closed and convex subset of a real Hilbert space H , T be a pseudo- contractive semigroup on C and A be a Lipschitz monotone mapping from C into H . In this paper, we propose and investigate an iterative scheme for finding a common element of the set of common fixed points of T and the set of solutions of the variational inequality V I ( A, C ). As a consequence, we prove that the scheme generated by the new method converges strongly under mild conditions on the parameters involved.