An Algorithm for Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Classical Banach Spaces

Uba, M and Onyido, M (2016) An Algorithm for Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Classical Banach Spaces. British Journal of Mathematics & Computer Science, 19 (1). pp. 1-13. ISSN 22310851

[thumbnail of Uba1912016BJMCS28512.pdf] Text
Uba1912016BJMCS28512.pdf - Published Version

Download (423kB)

Abstract

Let X = lp , 2 ≤ p < ∞. Let F : X → X* and K : X* → X be bounded maximal 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. Our method of proof is also of independent interest.

Item Type: Article
Subjects: OA Digital Library > Mathematical Science
Depositing User: Unnamed user with email support@oadigitallib.org
Date Deposited: 31 May 2023 05:22
Last Modified: 21 Sep 2024 03:50
URI: http://library.thepustakas.com/id/eprint/1342

Actions (login required)

View Item
View Item