Journal article

Approximating solutions of Hammerstein type equations in Banach spaces


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Publication Details

Author list: Daman O, Tufa A, Hailu H

Publisher: Taylor and Francis Online

Publication year: 2019

Volume number: 42

Issue number: 5

Start page: 561

End page: 577

Number of pages: 17

ISSN: 1607-3606

eISSN: 1727-933X

URL: https://www.tandfonline.com/doi/abs/10.2989/16073606.2018.1463299

Languages: English



Let X be a real Banach space and X be its dual. Let F: X → X and K: X → X be Lipschitz monotone mappings. In this paper an explicit iterative scheme is constructed for approximating solutions of the Hammerstein type equation, 0 = u + KF u, when they exist. Strong convergence of the scheme is obtained under appropriate conditions. Our results improve and unify many of the results in the literature.


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Last updated on 2022-29-11 at 11:35