Iterative solutions of K-positive definite operator equations in real uniformly smooth Banach spaces
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005919 |
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| Summary: | 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). |
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| ISSN: | 0161-1712 1687-0425 |