A fixed point theorem for generalized weakly contractive mappings in b-metric spaces
In this paper we establish a fixed point theorem for generalized weakly contractive mappings in the setting of \(b-\)metric spaces and prove the existence and uniqueness of a fixed point for a self-mappings satisfying the established theorem. Our result extends and generalizes the result of Cho [1...
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Ptolemy Scientific Research Press
2020-01-01
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| Series: | Open Journal of Mathematical Sciences |
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| Online Access: | https://pisrt.org/psr-press/journals/oms-vol-4-2020/a-fixed-point-theorem-for-generalized-weakly-contractive-mappings-in-b-metric-spaces/ |
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doaj-1969b9af71b547d480d221747794ab242020-11-25T02:26:19ZengPtolemy Scientific Research PressOpen Journal of Mathematical Sciences2616-49062523-02122020-01-01411810.30538/oms2020.0087A fixed point theorem for generalized weakly contractive mappings in b-metric spacesEliyas Zinab 0Kidane Koyas1Aynalem Girma2Department of Mathematics, College of Natural Sciences, Jimma University, Jimma, Ethiopia.Department of Mathematics, College of Natural Sciences, Jimma University, Jimma, Ethiopia.Department of Mathematics, College of Natural Sciences, Jimma University, Jimma, Ethiopia.In this paper we establish a fixed point theorem for generalized weakly contractive mappings in the setting of \(b-\)metric spaces and prove the existence and uniqueness of a fixed point for a self-mappings satisfying the established theorem. Our result extends and generalizes the result of Cho [1]. Finally, we provided an example in the support of our main result.https://pisrt.org/psr-press/journals/oms-vol-4-2020/a-fixed-point-theorem-for-generalized-weakly-contractive-mappings-in-b-metric-spaces/fixed pointgeneralized weak contractive mapping\(b-\)metric space. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Eliyas Zinab Kidane Koyas Aynalem Girma |
| spellingShingle |
Eliyas Zinab Kidane Koyas Aynalem Girma A fixed point theorem for generalized weakly contractive mappings in b-metric spaces Open Journal of Mathematical Sciences fixed point generalized weak contractive mapping \(b-\)metric space. |
| author_facet |
Eliyas Zinab Kidane Koyas Aynalem Girma |
| author_sort |
Eliyas Zinab |
| title |
A fixed point theorem for generalized weakly contractive mappings in b-metric spaces |
| title_short |
A fixed point theorem for generalized weakly contractive mappings in b-metric spaces |
| title_full |
A fixed point theorem for generalized weakly contractive mappings in b-metric spaces |
| title_fullStr |
A fixed point theorem for generalized weakly contractive mappings in b-metric spaces |
| title_full_unstemmed |
A fixed point theorem for generalized weakly contractive mappings in b-metric spaces |
| title_sort |
fixed point theorem for generalized weakly contractive mappings in b-metric spaces |
| publisher |
Ptolemy Scientific Research Press |
| series |
Open Journal of Mathematical Sciences |
| issn |
2616-4906 2523-0212 |
| publishDate |
2020-01-01 |
| description |
In this paper we establish a fixed point theorem for generalized weakly contractive mappings in the setting of
\(b-\)metric spaces and prove the existence and uniqueness of a fixed point for a self-mappings satisfying the established theorem. Our result extends and generalizes the result of Cho [1]. Finally, we provided an example in the support of our main result. |
| topic |
fixed point generalized weak contractive mapping \(b-\)metric space. |
| url |
https://pisrt.org/psr-press/journals/oms-vol-4-2020/a-fixed-point-theorem-for-generalized-weakly-contractive-mappings-in-b-metric-spaces/ |
| work_keys_str_mv |
AT eliyaszinab afixedpointtheoremforgeneralizedweaklycontractivemappingsinbmetricspaces AT kidanekoyas afixedpointtheoremforgeneralizedweaklycontractivemappingsinbmetricspaces AT aynalemgirma afixedpointtheoremforgeneralizedweaklycontractivemappingsinbmetricspaces AT eliyaszinab fixedpointtheoremforgeneralizedweaklycontractivemappingsinbmetricspaces AT kidanekoyas fixedpointtheoremforgeneralizedweaklycontractivemappingsinbmetricspaces AT aynalemgirma fixedpointtheoremforgeneralizedweaklycontractivemappingsinbmetricspaces |
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1724847859512115200 |