Convergence theorems for inertial KM-type algorithms (Q935781)

For the approximation of fixed points of nonlinear operators in a Hilbert space, a general method is studied that allows to unify iterations of Krasnoselskij-Mann-type with a relaxation or damping factor and inertial-type extrapolation methods. Results on the weak convergence are shown. Applications are given for constraint minimization problems, subgradient projection methods, and problems with maximal monotone operator.