Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces
This paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-weak nonexpansive mappings and then proves the existence of a unique common fixed point of such mappings in case of complete and compact metric spaces, respectively, in particular,...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/6642564 |
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| _version_ | 1832552524834406400 |
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| author | Sahar Mohamed Ali Abou Bakr |
| author_facet | Sahar Mohamed Ali Abou Bakr |
| author_sort | Sahar Mohamed Ali Abou Bakr |
| collection | DOAJ |
| description | This paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-weak nonexpansive mappings and then proves the existence of a unique common fixed point of such mappings in case of complete and compact metric spaces, respectively, in particular, it proves the existence of a unique fixed point for both cyclic G‐ΩS,abef-weak contraction and cyclic G‐ΩS,abef-weak nonexpansive mappings, and hence, it also proves the existence of a unique fixed point for both cyclic ΩS,abef-weak contraction and cyclic ΩS,abef-weak nonexpansive mappings. The results of this research paper extend and generalize some fixed point theorems previously proved via the attached references. |
| format | Article |
| id | doaj-art-b9e0be38616246829e6079774eefdbc0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9e0be38616246829e6079774eefdbc02025-02-03T05:58:31ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/66425646642564Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric SpacesSahar Mohamed Ali Abou Bakr0Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptThis paper introduces novel concepts of joint Y,Z cyclic G‐ΩS,T,abef-weak contraction and joint Y,Z cyclic G‐ΩS,T,abef-weak nonexpansive mappings and then proves the existence of a unique common fixed point of such mappings in case of complete and compact metric spaces, respectively, in particular, it proves the existence of a unique fixed point for both cyclic G‐ΩS,abef-weak contraction and cyclic G‐ΩS,abef-weak nonexpansive mappings, and hence, it also proves the existence of a unique fixed point for both cyclic ΩS,abef-weak contraction and cyclic ΩS,abef-weak nonexpansive mappings. The results of this research paper extend and generalize some fixed point theorems previously proved via the attached references.http://dx.doi.org/10.1155/2021/6642564 |
| spellingShingle | Sahar Mohamed Ali Abou Bakr Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces Abstract and Applied Analysis |
| title | Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces |
| title_full | Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces |
| title_fullStr | Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces |
| title_full_unstemmed | Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces |
| title_short | Cyclic G‐Ω-Weak Contraction-Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces |
| title_sort | cyclic g ω weak contraction weak nonexpansive mappings and some fixed point theorems in metric spaces |
| url | http://dx.doi.org/10.1155/2021/6642564 |
| work_keys_str_mv | AT saharmohamedaliaboubakr cyclicgōweakcontractionweaknonexpansivemappingsandsomefixedpointtheoremsinmetricspaces |