A Viscosity Nonlinear Midpoint Algorithm for Nonexpansive Semigroup
In this paper, we proposed a viscosity nonlinear midpoint algorithm (VNMA) for finding a solution of fixed point problem for a nonexpansive semigroup in real Hilbert spaces. Under certain conditions control on parameters, the iteration sequences generated by the proposed algorithms are proved to be strongly convergent to a solution of fixed point problem for a nonexpansive semigroup. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.
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