Fixed point theory in RWC–Banach algebras
In this paper, we prove some fixed point results for the sum and the product of nonlinear continuous operators acting on an RWC–Banach algebra. Our result is formulated in terms of topological conditions on the operators. An illustrative example on an RWC–Banach algebra, which is not a WC–Banach al...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-01-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/38343 |
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| _version_ | 1849307010796879872 |
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| author | Józef Banaś Bilel Krichen Bilel Mefteh Donal O’Regan |
| author_facet | Józef Banaś Bilel Krichen Bilel Mefteh Donal O’Regan |
| author_sort | Józef Banaś |
| collection | DOAJ |
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In this paper, we prove some fixed point results for the sum and the product of nonlinear continuous operators acting on an RWC–Banach algebra. Our result is formulated in terms of topological conditions on the operators. An illustrative example on an RWC–Banach algebra, which is not a WC–Banach algebra, is provided.
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| format | Article |
| id | doaj-art-2570258ca4b0464586c567bbfd9f03a1 |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-2570258ca4b0464586c567bbfd9f03a12025-08-20T03:54:52ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-01-0130110.15388/namc.2025.30.38343Fixed point theory in RWC–Banach algebrasJózef Banaś0Bilel Krichen1https://orcid.org/0000-0002-3481-7575Bilel Mefteh2Donal O’Regan3Rzeszów University of TechnologyUniversity of SfaxUniversity of SfaxNational University of Ireland In this paper, we prove some fixed point results for the sum and the product of nonlinear continuous operators acting on an RWC–Banach algebra. Our result is formulated in terms of topological conditions on the operators. An illustrative example on an RWC–Banach algebra, which is not a WC–Banach algebra, is provided. https://www.journals.vu.lt/nonlinear-analysis/article/view/38343WC–Banach algebraRWC–Banach algebrafixed point theorems |
| spellingShingle | Józef Banaś Bilel Krichen Bilel Mefteh Donal O’Regan Fixed point theory in RWC–Banach algebras Nonlinear Analysis WC–Banach algebra RWC–Banach algebra fixed point theorems |
| title | Fixed point theory in RWC–Banach algebras |
| title_full | Fixed point theory in RWC–Banach algebras |
| title_fullStr | Fixed point theory in RWC–Banach algebras |
| title_full_unstemmed | Fixed point theory in RWC–Banach algebras |
| title_short | Fixed point theory in RWC–Banach algebras |
| title_sort | fixed point theory in rwc banach algebras |
| topic | WC–Banach algebra RWC–Banach algebra fixed point theorems |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/38343 |
| work_keys_str_mv | AT jozefbanas fixedpointtheoryinrwcbanachalgebras AT bilelkrichen fixedpointtheoryinrwcbanachalgebras AT bilelmefteh fixedpointtheoryinrwcbanachalgebras AT donaloregan fixedpointtheoryinrwcbanachalgebras |