A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces
This manuscript proves the existence of a single common fixed point of two joint A,B generalized cyclic ϕ−abc weak nonexpansive mappings, where A and B are compact sets. The result in particular demonstrated a single fixed point of generalized cyclic ϕ−abc weak nonexpansive mappings, without the ass...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/9427267 |
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| _version_ | 1832567294933336064 |
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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 manuscript proves the existence of a single common fixed point of two joint A,B generalized cyclic ϕ−abc weak nonexpansive mappings, where A and B are compact sets. The result in particular demonstrated a single fixed point of generalized cyclic ϕ−abc weak nonexpansive mappings, without the assumption of a single contracting point. Additionally, it introduces new types of generalized cyclic abc;r contraction mappings and describes the existence of a single fixed point of them in b-metric spaces. Finally, the presented results establish a simpler convergence theorem for a sequence of generalized cyclic abc;r contraction mappings, extend, and generalize some of the previous reported results. |
| format | Article |
| id | doaj-art-2d5ab655be7e44f7ab4ffec1fb38e3a1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2d5ab655be7e44f7ab4ffec1fb38e3a12025-02-03T01:01:54ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/94272679427267A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric SpacesSahar Mohamed Ali Abou Bakr0Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptThis manuscript proves the existence of a single common fixed point of two joint A,B generalized cyclic ϕ−abc weak nonexpansive mappings, where A and B are compact sets. The result in particular demonstrated a single fixed point of generalized cyclic ϕ−abc weak nonexpansive mappings, without the assumption of a single contracting point. Additionally, it introduces new types of generalized cyclic abc;r contraction mappings and describes the existence of a single fixed point of them in b-metric spaces. Finally, the presented results establish a simpler convergence theorem for a sequence of generalized cyclic abc;r contraction mappings, extend, and generalize some of the previous reported results.http://dx.doi.org/10.1155/2020/9427267 |
| spellingShingle | Sahar Mohamed Ali Abou Bakr A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces Abstract and Applied Analysis |
| title | A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces |
| title_full | A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces |
| title_fullStr | A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces |
| title_full_unstemmed | A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces |
| title_short | A Study on Common Fixed Point of Joint A;B Generalized Cyclic ϕ−abc Weak Nonexpansive Mappings and Generalized Cyclic abc;r Contractions in Quasi Metric Spaces |
| title_sort | study on common fixed point of joint a b generalized cyclic ϕ abc weak nonexpansive mappings and generalized cyclic abc r contractions in quasi metric spaces |
| url | http://dx.doi.org/10.1155/2020/9427267 |
| work_keys_str_mv | AT saharmohamedaliaboubakr astudyoncommonfixedpointofjointabgeneralizedcyclicphabcweaknonexpansivemappingsandgeneralizedcyclicabcrcontractionsinquasimetricspaces AT saharmohamedaliaboubakr studyoncommonfixedpointofjointabgeneralizedcyclicphabcweaknonexpansivemappingsandgeneralizedcyclicabcrcontractionsinquasimetricspaces |