On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator

On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator

In this paper we study semilinear equations of the form Au+λF(u)=f, where A is a linear self-adjoint operator, satisfying a strong positivity condition, and F is a nonlinear Lipschitz operator. As applications we develop Krasnoselskii and Ky Fan type approximation results for certain pair of maps an...

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Main Authors: Dinu Teodorescu, N. Hussain
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/902563
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spelling doaj-2f37f50edeca4d6fb5384f781cfd348e2020-11-24T22:03:03ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/902563902563On Lipschitz Perturbations of a Self-Adjoint Strongly Positive OperatorDinu Teodorescu0N. Hussain1Department of Mathematics, Valahia University of Targoviste, Boulevard Unirii 18, 130024 Targoviste, RomaniaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper we study semilinear equations of the form Au+λF(u)=f, where A is a linear self-adjoint operator, satisfying a strong positivity condition, and F is a nonlinear Lipschitz operator. As applications we develop Krasnoselskii and Ky Fan type approximation results for certain pair of maps and to illustrate the usability of the obtained results, the existence of solution of an integral equation is provided.http://dx.doi.org/10.1155/2013/902563
collection DOAJ
language English
format Article
sources DOAJ
author Dinu Teodorescu
N. Hussain
spellingShingle Dinu Teodorescu
N. Hussain
On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator
Journal of Function Spaces and Applications
author_facet Dinu Teodorescu
N. Hussain
author_sort Dinu Teodorescu
title On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator
title_short On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator
title_full On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator
title_fullStr On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator
title_full_unstemmed On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator
title_sort on lipschitz perturbations of a self-adjoint strongly positive operator
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description In this paper we study semilinear equations of the form Au+λF(u)=f, where A is a linear self-adjoint operator, satisfying a strong positivity condition, and F is a nonlinear Lipschitz operator. As applications we develop Krasnoselskii and Ky Fan type approximation results for certain pair of maps and to illustrate the usability of the obtained results, the existence of solution of an integral equation is provided.
url http://dx.doi.org/10.1155/2013/902563
work_keys_str_mv AT dinuteodorescu onlipschitzperturbationsofaselfadjointstronglypositiveoperator
AT nhussain onlipschitzperturbationsofaselfadjointstronglypositiveoperator
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