MODIFIED TWO STEPS IMPLICIT MIDPOINT ITERATION METHOD TO APPROXIMATE FIXED POINTS FOR NONEXPANSIVE MAPPINGS
نویسندگان
چکیده
منابع مشابه
Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings
Throughout this paper, let H be a real Hilbert space with inner product 〈·,·〉 and norm ‖ · ‖. Let C be a nonempty closed convex subset of H , we denote by PC(·) the metric projection from H onto C. It is known that z = PC(x) is equivalent to 〈z− y,x− z〉 ≥ 0 for every y ∈ C. Recall that T : C → C is nonexpansive if ‖Tx− Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. A point x ∈ C is a fixed point of T provided ...
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Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E , which is also a nonexpansive retract of E with nonexpansive retraction P . Let {Ti : i ∈ I } be N nonself asymptotically nonexpansive mappings from K to E such that F = {x ∈ K : Ti x = x, i ∈ I } 6= φ, where I = {1, 2, . . . , N }. From arbitrary x0 ∈ K , {xn} is defined by xn = P((1− αn)xn−1 + αnTn(PT...
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ژورنال
عنوان ژورنال: International Journal of Applied Mathematics
سال: 2022
ISSN: ['1311-1728', '1314-8060']
DOI: https://doi.org/10.12732/ijam.v34i6.7