Iterative Solutions of K-positive Definite Operator Equations in Real Uniformly Smooth Banach Spaces
نویسندگان
چکیده
Let X be a real uniformly smooth Banach space and let T : D(T) ⊆ X → X be a K-positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx = f , f ∈ X. The results presented in this paper generalize the corresponding results of Bai (1999), Chidume and Aneke (1993), and Chidume and Osilike (1997). 2000 Mathematics Subject Classification. 47H06, 47H07, 47H14.
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