Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra
In this article, applying the concept of a generalized c-distance in cone b-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, sinc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6623606 |
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| _version_ | 1832567908815863808 |
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| author | Ladan Aryanpour Hamidreza Rahimi Ghasem Soleimani Rad |
| author_facet | Ladan Aryanpour Hamidreza Rahimi Ghasem Soleimani Rad |
| author_sort | Ladan Aryanpour |
| collection | DOAJ |
| description | In this article, applying the concept of a generalized c-distance in cone b-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a wt-distance in b-metric spaces while they contain recent results corresponding to a generalized c-distance in cone b-metric spaces. |
| format | Article |
| id | doaj-art-f9e7f4740bf54a88ad54700a5ecffd72 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f9e7f4740bf54a88ad54700a5ecffd722025-02-03T01:00:16ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66236066623606Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach AlgebraLadan Aryanpour0Hamidreza Rahimi1Ghasem Soleimani Rad2Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, IranIn this article, applying the concept of a generalized c-distance in cone b-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a wt-distance in b-metric spaces while they contain recent results corresponding to a generalized c-distance in cone b-metric spaces.http://dx.doi.org/10.1155/2021/6623606 |
| spellingShingle | Ladan Aryanpour Hamidreza Rahimi Ghasem Soleimani Rad Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra Journal of Function Spaces |
| title | Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra |
| title_full | Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra |
| title_fullStr | Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra |
| title_full_unstemmed | Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra |
| title_short | Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra |
| title_sort | common fixed points of two mappings regarding a generalized c distance over a banach algebra |
| url | http://dx.doi.org/10.1155/2021/6623606 |
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