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Let X be a real uniformly smooth Banach space and letT:D(T)⫅X→X be a K-positive definiteoperator. Under suitable conditions we establish that theiterative method by Bai (1999) converges strongly to the uniquesolution of the equation Tx=f, f∈X. The results presentedin this paper generalize the corresponding results of Bai (1999),Chidume and Aneke (1993), and  Chidume and Osilike (1997)

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