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Research Article Open access CC BY 4.0

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/2016/28691

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 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.

Bounded maximal monotone mappings hammerstein equations strong convergence.

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