Iterative solutions of K‐positive definite operator equations in real uniformly smooth Banach spaces
Zeqing Liu, Shin Min Kang, Jeong Sheok Ume · International Journal of Mathematics and Mathematical Sciences · 2001
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).