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We study the convergence of a more general Picard iterative sequence for nonexpansive and Lipschitz strongly accretive mappings in an arbitrary real Banach space. Our results improve the results of Ćirić et al. (Nonlinear Anal. 70(12):4332-4337, 2009).

Picard iterations for nonexpansive and Lipschitz strongly accretive mappings in a real Banach space