The Solution by Iteration of a Composed K-Positive Definite Operator Equation in a Banach Space
The equation 𝐿𝑢=𝑓, where 𝐿=𝐴+𝐵, with 𝐴 being a K-positive definite operator and 𝐵 being a linear operator, is solved in a Banach space. Our scheme provides a generalization to the so-called method of moments studied in a Hilbert space by Petryshyn (1962), as well as Lax and Milgram (1954). Furtherm...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/376852 |
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