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A solution of nonlinear φ-strongly accretive operator equations is found in this paper by using a one-steptwo-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012 , 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Dingdoi:10.22436/jnsa.008.05.33 fatcat:eckf6jqfnfatdfor72mhjlxt5a