Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application
In the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings satisfying a generalized (F, ξ, η)- contraction condition under joint common limit range property in weak partial b- metric spaces. Our result is a generalization of many works available in metric...
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| Format: | Article |
| Language: | English |
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ATNAA
2021-07-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1758826 |
| _version_ | 1797913618052808704 |
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| author | Lucas Wangwe Santosh Kumar |
| author_facet | Lucas Wangwe Santosh Kumar |
| author_sort | Lucas Wangwe |
| collection | DOAJ |
| description | In the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings
satisfying a generalized (F, ξ, η)- contraction condition under joint common limit range property in weak
partial b- metric spaces. Our result is a generalization of many works available in metric space settings. An
example and application to the integral equation are given to support the results proved in this paper. |
| first_indexed | 2024-04-10T12:14:40Z |
| format | Article |
| id | doaj.art-753aa1188c3543dcb78fdee1b98150cd |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T12:14:40Z |
| publishDate | 2021-07-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-753aa1188c3543dcb78fdee1b98150cd2023-02-15T16:15:50ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482021-07-015453155010.31197/atnaa.934778Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some ApplicationLucas WangweSantosh KumarIn the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings satisfying a generalized (F, ξ, η)- contraction condition under joint common limit range property in weak partial b- metric spaces. Our result is a generalization of many works available in metric space settings. An example and application to the integral equation are given to support the results proved in this paper.https://dergipark.org.tr/tr/download/article-file/1758826common fixed pointweak partial b - metric spacejoint common limit range propertynon-self mappings. |
| spellingShingle | Lucas Wangwe Santosh Kumar Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application Advances in the Theory of Nonlinear Analysis and its Applications common fixed point weak partial b - metric space joint common limit range property non-self mappings. |
| title | Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application |
| title_full | Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application |
| title_fullStr | Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application |
| title_full_unstemmed | Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application |
| title_short | Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalised (F, ξ, η)-contraction in weak Partial b- Metric Spaces with some Application |
| title_sort | common fixed point theorem for hybrid pair of mappings in a generalised f ξ η contraction in weak partial b metric spaces with some application |
| topic | common fixed point weak partial b - metric space joint common limit range property non-self mappings. |
| url | https://dergipark.org.tr/tr/download/article-file/1758826 |
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