An iterative algorithm for approximating solutions of Hammerstein equations with monotone maps in Banach spaces

C.E. Chidume and A.U. Bello

Applied Mathematics and Computation, 2017, vol. 313, issue C, 408-417

Abstract: Let E=Lp, 1 < p < ∞. Let F: E → E* and K: E* → E be strongly monotone and bounded maps. Suppose the Hammerstein equation u+KFu=0 has a solution u*. A coupled iterative process is constructed and proved to converge strongly to u*. Furthermore, our technique of proof is of independent interest.

Keywords: Hammerstein equations; Bounded strongly monotone mappings; Strong convergence (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:313:y:2017:i:c:p:408-417

DOI: 10.1016/j.amc.2017.06.013

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