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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/902563 |
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| _version_ | 1850216865675083776 |
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| author | Dinu Teodorescu N. Hussain |
| author_facet | Dinu Teodorescu N. Hussain |
| author_sort | Dinu Teodorescu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2f37f50edeca4d6fb5384f781cfd348e |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-2f37f50edeca4d6fb5384f781cfd348e2025-08-20T02:08:12ZengWileyJournal 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 |
| spellingShingle | Dinu Teodorescu N. Hussain On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator Journal of Function Spaces and Applications |
| title | 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_short | On Lipschitz Perturbations of a Self-Adjoint Strongly Positive Operator |
| title_sort | on lipschitz perturbations of a self adjoint strongly positive operator |
| url | http://dx.doi.org/10.1155/2013/902563 |
| work_keys_str_mv | AT dinuteodorescu onlipschitzperturbationsofaselfadjointstronglypositiveoperator AT nhussain onlipschitzperturbationsofaselfadjointstronglypositiveoperator |