Iterative Approximation of Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Banach Spaces

Uba, M and Onyido, M and Nwokoro, P (2016) Iterative Approximation of Solutions of Hammerstein Integral Equations with Maximal Monotone Operators in Banach Spaces. British Journal of Mathematics & Computer Science, 19 (2). pp. 1-15. ISSN 22310851

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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.

Item Type: Article
Subjects: STM Open Library > Mathematical Science
Depositing User: Unnamed user with email support@stmopenlibrary.com
Date Deposited: 06 Jun 2023 06:42
Last Modified: 07 Jun 2024 09:58
URI: http://ebooks.netkumar1.in/id/eprint/1525

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