Iterative solutions of K -positive definite operator equations in real uniformly smooth Banach spaces

Zeqing Liu, Shin Min Kang and Jeong Sheok Ume

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-6

Abstract:

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 T x = 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).

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:865439

DOI: 10.1155/S0161171201005919

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