| Let E be a real reflexive Banach space E which has a uniformly Gâteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of E has the fixed point property for nonexpansive mappings. Let A i : → E, i = 1, . . . ,r be a family of α-inverse strongly accretive mappings such that ∪r i = 1N (Ai ) ≠ ∅, where N (A): = {x ∈ E: Ax = 0}.Then an iterative sequence {xn } is constructed to converge strongly to a common zero point of {A1, A2, . . . , Ar }. Related results deal with strong convergence of this iteration process to a common fixed point of a finite family of strictly pseudocontractive mappings. |
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