Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces
Various eigenvalue and range results are given for perturbations of m-accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337597000341 |
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| _version_ | 1832558778870923264 |
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| author | Zhou Haiyun Athanassios G. Kartsatos |
| author_facet | Zhou Haiyun Athanassios G. Kartsatos |
| author_sort | Zhou Haiyun |
| collection | DOAJ |
| description | Various eigenvalue and range results are given for perturbations of m-accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos. |
| format | Article |
| id | doaj-art-1a81d1b14f3347b58c170056b8e7d49f |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1a81d1b14f3347b58c170056b8e7d49f2025-02-03T01:31:36ZengWileyAbstract and Applied Analysis1085-33751997-01-0123-419720510.1155/S1085337597000341Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spacesZhou Haiyun0Athanassios G. Kartsatos1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaDepartment of Mathematics, University of South Florida, Tampa 33620-5700, FL, USAVarious eigenvalue and range results are given for perturbations of m-accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.http://dx.doi.org/10.1155/S1085337597000341Maximal monotone operatorm-accretive operatorcompact perturbationLeray-Schauder degree theoryconeeigenvalue problemcompact resolventKartsatos' degree theory. |
| spellingShingle | Zhou Haiyun Athanassios G. Kartsatos Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces Abstract and Applied Analysis Maximal monotone operator m-accretive operator compact perturbation Leray-Schauder degree theory cone eigenvalue problem compact resolvent Kartsatos' degree theory. |
| title | Eigenvalues and ranges for perturbations of nonlinear accretive
and monotone operators in Banach spaces |
| title_full | Eigenvalues and ranges for perturbations of nonlinear accretive
and monotone operators in Banach spaces |
| title_fullStr | Eigenvalues and ranges for perturbations of nonlinear accretive
and monotone operators in Banach spaces |
| title_full_unstemmed | Eigenvalues and ranges for perturbations of nonlinear accretive
and monotone operators in Banach spaces |
| title_short | Eigenvalues and ranges for perturbations of nonlinear accretive
and monotone operators in Banach spaces |
| title_sort | eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in banach spaces |
| topic | Maximal monotone operator m-accretive operator compact perturbation Leray-Schauder degree theory cone eigenvalue problem compact resolvent Kartsatos' degree theory. |
| url | http://dx.doi.org/10.1155/S1085337597000341 |
| work_keys_str_mv | AT zhouhaiyun eigenvaluesandrangesforperturbationsofnonlinearaccretiveandmonotoneoperatorsinbanachspaces AT athanassiosgkartsatos eigenvaluesandrangesforperturbationsofnonlinearaccretiveandmonotoneoperatorsinbanachspaces |