Algorithm for approximating solutions of Hammerstein integral equations with maximal monotone operators

M. O. Uba (), M. I. Uzochukwu and M. A. Onyido
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M. O. Uba: University of Nigeria
M. I. Uzochukwu: Auburn University
M. A. Onyido: University of Nigeria

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 3, 391-410

Abstract: 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.

Keywords: Bounded; maximal monotone mappings; Hammerstein equations; strong convergence (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13226-017-0232-9

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