Let E be separable q-uniformly smooth Banach space, q > 1, and let A: D(A) subset of or equal to E --> E be a K-positive definite operator. Let f is an element of E be arbitrary. An iterative method is constructed which converges strongly to the unique solution of the equation Ax = f. Our result resolves two questions raised by C. E. Chidume and S. J. Aneke (Appl. Anal. 50, 1993, 293). (C) 1997 Academic Press. [References: 13]
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机译:设E为可分离的q一致光滑Banach空间,q> 1,并令A:等于E-> E的D(A)子集为K正定算符。令f是E的元素是任意的。构造了一种迭代方法,该方法强烈收敛于方程Ax = f的唯一解。我们的结果解决了C. E. Chidume和S. J. Aneke(Appl。Anal。50,1993,293)提出的两个问题。 (C)1997学术出版社。 [参考:13]
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