Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces

‎The purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex Banach space which has a‎ ‎uniformly G\^ateaux differentiable norm and admits the duality‎ ‎mapping jφ‎, ‎where φ is a gauge function invariant‎ ‎on [0,∞)‎. ‎Furthermore‎, ‎we prove the strong convergence under‎ ‎some certain conditions‎. ‎The results obtained in this paper improve‎ ‎and extend the corresponding ones announced by many others‎.