Approximation of Solutions of Nonlinear Integral Equations of Hammerstein Type with Lipschitz and Bounded Nonlinear Operators
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-12
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Let E be a reflexive real Banach space with uniformly Gâteaux differentiable norm and F, K : E→E be Lipschitz accretive maps with D(K)=R(F)=E.
Suppose that the Hammerstein equation u+KFu=0 has a solution.
An explicit iteration method is shown to converge strongly to a solution of the equation.
No invertibility assumption is imposed on K and the operator F is not restricted to be angle-bounded.
Our theorems are significant improvements on important recent results (e.g., (Chiume and Djitte, 2012)).
American Psychological Association (APA)
Djitte, N.& Sene, M.. 2012. Approximation of Solutions of Nonlinear Integral Equations of Hammerstein Type with Lipschitz and Bounded Nonlinear Operators. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-511893
Modern Language Association (MLA)
Djitte, N.& Sene, M.. Approximation of Solutions of Nonlinear Integral Equations of Hammerstein Type with Lipschitz and Bounded Nonlinear Operators. ISRN Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-511893
American Medical Association (AMA)
Djitte, N.& Sene, M.. Approximation of Solutions of Nonlinear Integral Equations of Hammerstein Type with Lipschitz and Bounded Nonlinear Operators. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-511893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511893
