Inequalities in Banach spaces with applications
Nonlinear Analysis: Theory, Methods & Applications
Approximating solutions of maximal monotone operators in Hilbert spaces
Journal of Approximation Theory
Convergence theorems for inertial KM-type algorithms
Journal of Computational and Applied Mathematics
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This paper deals with the general iteration method Xn+1 := αn Tn xn + (1-αn) JrnAxn, for calculating a particular zero of A, an m-accretive operator in a Banach space X, Tn being a sequence of nonexpansive self-mappings in X. Under suitable conditions on the parameters and X, we state strong and weak convergence results of (Xn). We also show how to compute a common zero of two m-accretive operators in X.