Algorithm for approximating solutions of Hammerstein integral equations with maximal monotone operators |
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| Authors: | M. O. Uba M. I. Uzochukwu M. A. Onyido |
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| Affiliation: | 1.University of Nigeria,Nsukka,Nigeria;2.Auburn University,Washington,USA |
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| Abstract: | Let X be a uniformly convex and uniformly smooth real Banach space with dual space X*. Let F: X → X* and K: X* → X be bounded monotone mappings such that the Hammerstein equation u + KFu = 0 has a solution. An explicit iteration sequence is constructed and proved to converge strongly to a solution of this equation. |
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