Viscosity Approximation Fixed Points for Nonexpansive Nonself-Mapping in Banach Space
نویسندگان
چکیده
Let X be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from X to X∗, and C be a closed convex subset of X which is also a sunny nonexpansive retract of X, and T : C → X a non-expansive mapping satisfying the weakly inward condition and F (T ) = ∅, and f : C → C be a fixed contractive mapping. The sequence {xn} is given by xn+1 = P (αnf(xn) + (1− αn)(βnxn + (1− βn)Txn)), where αn, βn ∈ (0, 1), and P is sunny nonexpansive retract of X onto C. We prove that {xn} strongly converges to a fixed point of T as αn and βn satisfying some appropriate conditions.
منابع مشابه
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begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}
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