A New Iterative Method for Common Fixed Points of a Finite Family of Nonexpansive Mappings
نویسندگان
چکیده
Let X be a real Banach space, C a nonempty closed convex subset of X, and T : C → C a mapping. Recall that T is nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖ for all x, y ∈ C. Let Ti : C → C, i 1, 2, . . . , r, be nonexpansive mappings. Let Fix Ti denote the fixed points set of Ti, that is, Fix Ti : {x ∈ C : Tix x}, and let F : ⋂r i 1Fix Ti . For a given x1 ∈ C, and a fixed r ∈ N N denote the set of all positive integers , compute the iterative sequences {x 0 n }, {x 1 n }, {x 2 n }, . . . , {x r n } by
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2009 شماره
صفحات -
تاریخ انتشار 2009