Iterative Approximation of Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Banach Spaces
M. O. Uba, M. A. Onyido, P. U. Nwokoro
Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 14 Oct 2016
10.9734/BJMCS/2016/28691Abstract
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 maximal monotone mappings. Suppose the Hammerstein equation u + KFu = 0 has a solution. An iteration sequence is constructed and proved to converge strongly to a solution of this equation.
Cited by 2
O. Daman, Abebe R. Tufa, H. Zegeye · Quaestiones Mathematicae · 2018
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